Anthony LaPaglia -- My Marriage Will End in Divorce ... Without a Trace

"Without a Trace" star Anthony LaPaglia is headed for divorce court ... TMZ has learned.

Anthony just filed legal docs, with the help of disso queen Laura Wasser, claiming irreconcilable differences in his marriage to "My Big Fat Greek Wedding" star Gia Carides.

He's asking for joint custody of their 12-year-old daughter Bridget. He's also agreeing to pay Gia spousal and child support.

It's a little odd ... he signed the divorce docs on February 19 but waited a month-and-a-half to file.

We're told there is not a prenup.