The pair, met on the set of Channel 4 soap Hollyoaks in 2010, when Overton played Liam McAllister and Shenton played Mitzeee Minniver.
In March they they won an Academy Award for their short film The Silent Child, which was directed by Overton, while Shenton wrote and starred in it.
Shenton, 30, told The Sun Online: “We got married not that long ago in amongst all the madness [of the Oscar win].
“It was a very private event, we wanted to keep it private, but I am so happy though.
“It has been a very good year.
“I don‘t know what we are going to do next year.”
Asked how their lives had changed since winning an Oscar, she said: “I mean Chris and I are a bit boring and normal so I don‘t think it has changed that much day to day really.
“But it has certainly changed us creatively in terms of what we want to do and the meetings we‘ve found ourselves in and doors that have been opened.
“Both sides of the pond we‘ve had great meetings and we are just very excited for the next projects and things.”