Ryan and Ethan Hawke
Pascal Le Segretain/Getty
04/21/2011 AT 01:45 PM EDT
04/21/2011 AT 11:40 AM EDT
Ethan Hawke, who has called fatherhood "the greatest pleasure in my life," is about to have even more to love about it.
The actor, 40, and his wife, Ryan Hawke, are expecting their second child together, PEOPLE has confirmed. It's the fourth for Hawke, who also has two children with ex-wife Uma Thurman.
Ethan and Ryan married in June 2008
and had a daughter
, Clementine Jane, the following month.
Ryan Hawke is the former nanny to Hawke's children with Thurman – Maya, now 12, and Levon, 9.
In 2006, Ethan Hawke said parenting was brought him the greatest joy
and was "the only role that, if I fail, I will consider my life a failure."
When reached, the actor's rep had no comment.