Edgerton stars in the Disney film as one half of a couple whose wish for a child is granted when a young boy appears to grow from their garden.
Speaking about the movie with OnTheRedCarpet, the actor said he is very proud of the heartwarming comedy.
He explained: "There are so many movies out there that are 'cool' and 'cool' is often violence and car chase. It was really nice, actually, to be part of something that wasn't trying to be anything but open-hearted."
Edgerton also revealed that he feels The Odd Life of Timothy Green actually "fits in" well with his more gritty work in films like Warrior and Separation City.
"It's very important for me to show the softer side within some of the heavier material as well. It's like every character has some kind of softer centre somewhere - as small as it might be. You're always searching for that empathy or that vulnerability," he commented.
Edgerton continued: "Thematically, I feel like this movie fits in with all of those movies because it seems like I'm always drawn to movies that have some really strong thematic thread about family!"
His co-star Jennifer Garner recently said that she is "almost evangelical" in urging people to see The Odd Life of Timothy Green.
The film is now playing in the US, and will be released in the UK on December 7.