AJ Buckley 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.

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"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.