“Hey everyone. Please welcome my daughter, Cleo, to this crazy but wonderful world,” Schwimmer wrote on Twitter with the above family photo.
Schwimmer, 44, and Buckman, 25, wed last June after dating since 2007.
In 2006, the former Friends star said he was eager to be a dad – in due time. “It will happen when it feels right,” he said at the time. “Maybe part of me is waiting for myself to slow down a little and be ready to stay put. I’m confident it’s gonna happen.”
Schwimmer will next be heard reprising his role as Melman in Madagascar 3.