Anor notched the game's only goal when he got a head on Federico Higuain's corner kick and put it into the net, recording his second goal in two games.
Shortly thereafter, the Timbers went down a man when Pa-Modou Kah was handed a red card for fouling Columbus forward Aaron Schoenfeld in the box and the Crew (6-8-5) went on to end a three-game skid.
The Timbers (7-2-9) fell for the first time since March 9, going 7-0-8 during the 15-match stretch.
Wisconsin business offering 'therapeutic cuddling' forced to close
Obama 'selfie' photographer speaks out: 'Photos can lie'