Kelsey Grammer and Camille Grammer have ended their custody war ... settling the dispute and doing it amicably ... TMZ has learned.

According to court documents obtained by TMZ, the case has officially been taken off calendar. Sources connected with the actor tell TMZ ... Kelsey and Camille have agreed to joint custody of their 2 kids -- 10-year-old Mason and 7-year-old Jude.

We're told the kids will both continue living in Los Angeles with Camille, but Kelsey will maintain "meaningful contact" with both of them.

The couple had reached a temporary custody agreement last July, but this one is permanent.

As for the couple's financial dispute, sources connected with the actor tell us ... they have almost resolved all of the money issues and it should be settled very shortly.

This guy above was his famous brother's date to the Independent Spirit Awards this weekend -- but can you name his celebrity sibling?

Check out the gallery above to find out, plus try and match more not-so-famous brothers and sisters with their celeb kin.

Taylor Swift wasn't red carpet-ready this morning when paparazzi snapped her at LAX -- where she looked great without any makeup on.

Not all celebrities are as lucky though. Nicole Scherzinger, Khloe Kardashian, Jessica Biel, Madonna and more, see how they all look with a makeup-free face!

Uma Thurman is having another baby!

While many are surprised with Uma having another baby at 41, it's nothing new in Hollywood.