The actor, who met his wife on the set of U.K. soap opera Coronation Street, confirmed his daughter's birth in a post on his Twitter.com page.
He told fans, "Lucy-Jo & I are delighted to announce the arrival of our little girl born this morning. Mother & baby are home with a very proud father... Welcome baby Halsall."
The couple met on the long-running show and began dating in 2005. They married in 2009. Halsall remains a member of the Coronation Street cast, while Hudson left to pursue other projects.