AJ Buckley

Justified star A.J. Buckley is a dad.

The CSI: NY alum and his fiancée, Abigail Ochse, welcomed their first child, a girl, in Los Angeles early Sunday morning, TVGuide.com has learned. They've named the baby Willow Phoenix Buckley.

See more celebrity baby news

"Baby, mother and father are doing well," according to Buckley's rep.

Buckley and Ochse, an oncology nurse, have been together since 2010 and got engaged in 2012.