US Weekly magazine revealed the news and quoted a source as saying: "They both want kids, it's one of the reasons they got a bigger place, in a neighbourhood that you can raise a family. They couldn't be more excited."
Fatherhood has been on John's mind for a while. The actor, who is best known for his part in the American version of The Office, got some in practice while writing Promised Land with Matt Damon.
"We actually wrote with children climbing all over him, and he was doing bath time and dinner and everything, and we still got it done," he said.
Matt was one of the couple's high profile wedding guests, along with George Clooney, David Schwimmer and Emily's TheDevil Wears Prada co-stars, Meryl Streep and Stanley Tucci, who is also her brother-in-law.
John has previously spoken about how he couldn't believe it when British beauty Emily agreed to go out with him.
"It was one of those things where I wasn't really looking for a relationship and I was thinking I'm going to take my time in LA," he told Ellen DeGeneres. "Then I met her and I was so nervous. I was like, 'Oh god, I think I'm going to fall in love with her.' As I shook her hand I went, 'I like you.'"