Emma Stone and Andrew Garfield have been dating for quite a while. Now, Gwen Stacy and Peter Parker of "The Amazing Spider-Man" are thinking about getting married, off-screen.

The action couple first met each other while shooting "The Amazing Spider-Man" back in 2011. Stone and Garfield instantly fell for each other and ever since then, they have been inseparable, living together in their New York City apartment over a year.

Emma Stone previously shared about the pair's chemistry both on and off screen.

"I don't think you should try to explain the chemistry between two people - it's either there or it isn't," the actress said of working with Garfield on their "Spider-Man" franchise. "Initially, I was worried that 'The Amazing Spider-Man' was going to be all CGI and green screens. But then I got the script, which had these incredible scenes between Peter and Gwen with real emotion and heart."

"The final audition - where they had me in full costume and hair to shoot scenes with Andrew - convinced me to take the part," Stone added.

Andrew Garfield also had something to say regarding his first time meeting his love.

"It was like I woke up when she came in," the actor said in an interview. "She was the last person to screen-test, and I was so bored of it by then that I was mucking about - I'd been pretending I was Tom Hanks or Seth Rogen. And then she came in, and it was like diving into white-water rapids and having no desire to hang on to the side. Throughout shooting, it was wild and exciting. I couldn't help but try to stay with her, keep pace with her, and not let her get away. [Laughs] Like an animal preying on a smaller animal, but a wily smaller animal."

The couple are talking serious matter now - getting married and having a family.

"They want to marry and have a family," a source said. "They're discussing it. Their schedules have been crazy, but they're madly in love."

Earlier this year, Emma Stone and Andrew Garfield shot "The Amazing Spider-Man 2," also starring Sally Field and Jamie Foxx. The movie is slated to hit theaters on May 2, 2014.