In an answer on another question about The Force Awakens, the author suggests that:
Rey is Luke’s daughter.
I’ve missed any indicators of any such relationship while watching the movie.
For instance, I took neither Luke’s lightsaber calling out to Rey, nor her hug of consolation with General Organa as such. Is there any evidence that Luke is Rey’s father?
Is it known who Rey’s parents are?
Any familial ties between Rey and other characters have yet to be confirmed.
J.J. Abrams did release an answer to a young fan back in April of 2016, stating:
"Rey's parents aren't in Episode VII. So I can't say in this moment who they are. But I will say it is something that Rey thinks about."
J.J. Abrams later restated this remark later on:
"What I meant was that she doesn't discover them in Episode VII. Not that they may not already be in her world."
I always took this statement as Rey's parents aren't discovered in Episode VII, so it is up for debate if they are or aren't. J.J. Abrams is not directing Episode VIII, Rian Johnson is. J.J. Abrams has also released statements expressing his wishes to respect and value the secrecy to the film:
"Obviously it is not for me to talk about in this moment because this is Rian's story to continue now. The last thing I'm going to do is reveal something that he would be upset about. I want to make sure that Rian gets the courtesy he showed me."
Daisy Ridley also stated she knows who Rey's parents are, but that it is the journey of the character, rather than her parentage that is important. Episode 9 director, Colin Trevorrow hinted that Rey's parentage might not be discovered until Episode 9. But he has stated that Rey's father is someone that we have met before in the Star Wars universe.
"We're going to make sure that the answer is deeply and profoundly satisfying. Rey is a character that is important in this universe, not just in the context of TFA, but in the entire galaxy. She deserves it. We'll make sure that the answer is something that feels like it happened a long time ago, far away, and we're just telling you what happened."
Colin Trevorrow went on to state that Luke and Leia would have more prominent roles in Episode 9, and that he's excited to find "new places to take these characters."
Ian McCaig, who was a former artistic director of Lucasfilm and worked on previous films' storyboards and concept art, gave teasers concerning Rey's parentage. He stated in early drafts of the TFA, there was going to be a romantic teaser between Qui-Gon Jinn and Shmi Skywalker. This was scraped as they did not want any material from the prequels. Despite Disney's insistence, some of these concepts remain throughout the Star Wars universe. McCaig ended his statement with:
"and now we have a new Skywalker."
In short, Disney and Lucasfilm are teasing who Rey's parents are but we are going to have to wait for the whole trilogy to wrap up in order to find out. Speculations and theories are fun and enjoyable, but at the end of the day, we are left with no real, solid answer. We'll know who Rey's parents are..in time. But it doesn't seem like any real confirmations or answers are going to be let out any time soon.
In The Last Jedi, Rey's parents are revealed to be:
random people who were junk dealers who sold and abandoned their child. They are currently dead; buried on Jakku
However, in an interview with Rian Johnson, he has also stated that the answer provided in The Last Jedi is still up for debate until Episode IX:
I can’t speak to what they’re going to do. And there’s always, in these movies, a question of ‘a certain point of view.' But for me, in that moment, Kylo believes it’s the truth. I don’t think he’s purely playing chess. I think that’s what he saw when they touched fingers and that’s what he believes. And when he tells her that in that moment, she believes it.
In another interview with Huffington Post Rian Johnson further discussed why Rey's parentage is still open for debate:
Anything’s still open, and I’m not writing the next film. [J.J. Abrams and Chris Terrio] are doing it. With all of these movies, Obi-Wan’s whole speech about a certain point of view always applies, so I think that you have to always think about the context of how information is given. But for me, dramatically, that’s why that reveal at that moment made sense.
So it still appears that we'll have to wait for Episode IX to solidly confirm The Last Jedi's parentage claims for Rey.
Caution Up Ahead For Episode IX Spoilers!
In Episode IX: The Rise of Skywalker, it is revealed that Rey is
The Rise of Skywalker reveals that Rey is Emperor Palpatine's granddaughter. Her parents are nobodies, however, they sold her on Jakku in an attempt to save her.
However, the film also reveals:
Rey chooses to believes that the Skywalkers are her chosen family. She is seen at Luke's old homestead on Tatooine in the film's end, and names herself 'Rey Skywalker'
Our long-awaited questioning and theories to Rey's parentage have been put to rest...finally.
There are several hints as to her lineage. But nothing for sure.
She seems equal or better in innate force ability to Kylo Ren, who is a third-generation Skywalker
And
She has Anakin's mechanical ability, and with this seemed to understand and fix things easily.
Also
The map to Luke was found near her. It was hinted in the flashback that she was left there (for safety we assume), and she would be able to find her way when the time was right.
And
When Maz says that Rey's search for belonging is forward, not back on Jakku, Rey says "Luke".
There is also a lot of imagery linking
Rey to Luke
Now this could all be misdirection, but I think it is what we are meant to believe after seeing the film.
From the novel:
Kylo seems curious as to this girl, from the outset. However when questioning her he decides
You're nothing special after all? You're just a -- Jakku scavenger?
Even in the trailer Rey says
I'm no one
However in the final confrontation between Rey and Kylo he says.
It is you
Emphasis from source.
Which implies that whatever suspicions he has (which are never revealed) are correct. Even Snoke says.
It appears that he [Kylo] May have been right about the girl.
As to quite who she is is still unclear, but it is clear that she is known to the First Order, more than she is even to herself.
There's still no canon information (for a good reason) but Star Wars: Episode IX director Colin Trevorrow told Entertainment Tonight regarding the theories:
“I’ve seen all of the theories… What I do know is that we’re going to make sure that that answer is deeply and profoundly satisfying, because Rey is a character that is important in this universe, not just in the context of The Force Awakens but in the entire galaxy, and she deserves it. So we’ll make sure that that answer is something that feels like it was—it’s something that happened a long time ago [in a galaxy] far, far away, we’re just telling you what happened.”
Absolutely non-specific, but seems to hint that it is someone meaningful (which, given that Star Wars has always been "the saga of Skywalker family", would likely imply some Skywalker).
Given the updates in the answer below, my prediction as of right now is "Leia is the mother; and someone - possibly but not necessarily - other than Han - is the father".
I know other answers stated "nothing for sure", but nobody backed it up with anything concrete or provable.
So my answer will.
I went over the digital version of The Force Awakens novelization by Alan Dean Foster, and searched for the following terms:
daughter
father
child
offspring
None of them yielded any results pertaining to Luke or Rey.
UPDATE
One thing which reflects poorly on Rey being Luke's daughter theory is the actual script for Episode VII.
When describing the last scene, it says:
IT IS LUKE SKYWALKER.
Older now, white hair, bearded. He looks at Rey. A kindness in his eyes, but there's something tortured, too. He doesn't need to ask her who she is, or what she is doing here. His look says it all.
In response, Rey pulls something from the pack.
LUKE'S LIGHTSABER.
And she holds it out to him. An offer. A plea. The galaxy's only hope.
HOLD ON LUKE SKYWALKER'S INCREDIBLE FACE, amazed and conflicted at what he sees, as our MUSIC BUILDS, the promise of an adventure, just beginning...
Now, may be things are different for a Jedi, but when you see a daughter you haven't seen for 15 years, you are far more likely to move to hug her, than to wait for her to give you Excalibur like some Lady of the Lake watery tart.
Please note that " He doesn't need to ask her who she is" isn't much of a clue - since he ALSO knows "what she is doing here", he knows about her through the Force, not merely remember his child from the past.
UPDATE 2:
I won't repeat them here, but I posted 2 separate answers which basically - in great detail - demolish nearly any chance of Rey being Han's daughter:
What evidence is there that Han acts unusually remorseful towards Rey?
What do Han and Luke know about Rey's abandonment?
UPDATE #3:
And the WGA script is now saying Leia gives Rey "mother's" embrace
The two women move for each other. And Leia takes Rey's face in her hands. Despite her heartbreak, she is grateful. She embraces Rey. A mother's embrace.
Read that as you will. Is she Rey's mother? Is she merely treating her as a mother, given her permanent-now loss of a son?
I didn't see any evidence in the movie that suggests who her parents really are. The two theories are Han and Leia, or Luke and "someone."
Han and Leia seem unlikely as you would expect their reaction to a "force sensitive girl being found on Jakku" a bit strange and would have to have known who she was.
You listed one point about Luke's lightsaber that could suggest a tie, however the end of the movie suggests an even bigger possibility:
When Rey finds Luke and presents him with his saber, Luke tears up and starts to cry.
We don't ever see a Jedi show that kind of emotion anywhere in the movies. Now, whether it's because of Rey, or his lightsaber, is still unknown. Nor do we have any idea who the mother would be at this point.
There is one indication in the film that Luke Skywalker is not one of the people who left Rey on Jakku. And throughout the film, Rey refers to the people who left her on Jakku as her "family."
In the basement of Maz Kanata's castle
when Maz finds Rey after her lightsaber hallucination, Maz talks to her about returning to Jakku to wait for her family, or continuing on her new adventure. "You already know the truth," Maz says. "They're not coming back. But there's someone else who could." "Luke Skywalker," Rey responds.
(I saw the film today, so this should be fairly accurate, but I am paraphrasing. I'd be interested to hear how this dialogue goes in the novelization.)
The film makes it pretty clear that the people who left her were "her family," and the dialogue above seems to suggest that Luke is not one of those people.
Of course, doesn't preclude Luke being related to the people who left her and there's always the chance that Maz is pulling an Obi-Wan and lying to Rey. We'll have to wait for the next Episode (or maybe longer) for real answers, but seems very unlikely that Luke is her immediate parent.
You guys forgot one:
She could sense Luke. When Rey was being interrogated by Kylor Ren, he read her mind and said "You want to escape. You see an ocean, and an island".
This is answered in The Rise of Skywalker. Rey is actually
A Palpatine, Emperor Palpatine’s granddaughter to be specific.
However, at the end of the film she
Takes on the Skywalker name because of Luke and Leia.
Rey's Parents aren't in The Force Awakens, so presumably Luke Skywalker is not Rey's father. This was confirmed by the film's director J.J. Abrams himself.
ABRAMS: Rey’s parents are not in Episode VII. So I can’t possibly say in this moment who they are. But I will say it is something that Rey thinks about, too.
He also added,
ABRAMS: What I meant was that she doesn’t discover them in Episode VII. Not that they may not already be in her world.
This still seems to indicate that Luke is not her father as Luke was 'discovered' by Rey in the film, while we know her parents weren't. It is unlikely that J.J. Abrams would say "Rey's Parents aren't in The Force Awakens" in the first place if Luke were actually her father.
There are 2 clues at the beginning of TFA which hint at Rey's parents/family. She has an old helmet she puts on while she eats her dinner, which looks like a rebel pilot helmet. Also, she has a roughly made doll in an orange outfit that looks like a rebel pilot uniform. I guess that one of her parents, or someone she would consider family, was a pilot in the Rebel Alliance.
