"Franny Fallon wishes you a happy Tuesday!" her excited dad captioned the snapshot.
Fallon, 40, and wife Nancy, 47, welcomed their baby girl in December. She joins big sister Winnie Rose, 19 months, as part of the Fallon family. Both sisters were welcomed to the world via surrogate.
"My wife and I had been trying a while to have a baby," Fallon said while being interviewed by The Today Show. "We tried a bunch of things, so we had a surrogate. We said, 'We're not going to tell anybody,'" Fallon explained. "It'd be just more fun if it was just private between me and my wife. And then we got to introduce her to everybody."
"When it happened we were in shock. We're like, 'Alright, who do we tell?" he continued. "Who's going to be mad at us if this gets out? We had to call everybody and it's so emotional when you call everybody."
"Being a father is the most exciting, amazing thing that ever happened to me," Fallon told People. "And everything's going well on the show. My life has never been this cool."
The two-month-old was photographed sitting on a couch and staying warm in a hand-stitched purple cardigan, polka-dot shirt, and dark green pants.
"I didn't think it was going to be this fun," he revealed. "But everything just gets heightened when you have a baby. The volume gets turned up on life. I never knew I could be this happy, and that's the truth."
Fallon and Juvonen, who is a film producer, have been married since December 2007.
Juvonen, who is a film producer, is partnered with actress Drew Barrymore in the company Flower Films.