Jesse Williams and Ex-Wife Settle Child Custody Dispute

Jesse Williams and his ex-wife, Aryn Drake-Lee, have reached a child custody agreement -- one that allows for him to do a Broadway play, and also gives him veto power on COVID-19 issues for their 2 kids.

According to docs, the exes were in court last week when the judge signed off on a few custody modifications. Although Aryn and Jesse maintain shared legal custody ... the judge denied her request to reduce his physical time with the kids -- presumably because he's gonna be spending a lot of time in NYC.

The former "Grey's Anatomy" star was hanging at a Knicks game back in January, but he'll be working in the Big Apple soon ... starring in the Broadway production, "Take Me Out" from March thru June.

As a result, the judge is now giving Jesse 4 consecutive days with the children -- 8-year-old Sadie and 6-year-old Maceo -- in NYC each month, and 2 of those days can be weekends.

Talk about a sign of the times ... the agreement also addresses how they will handle COVID disputes. The judge granted Jesse "tie-breaking authority" for 2022 if, for some reason, he and Aryn can't agree on things like vaccinations or face masks for the kids.

One more thing ... no flip-flopping on parenting time for Jesse. At Aryn's request, the judge agreed the actor can't cancel and then "uncancel" his scheduled daddy time.