Arsalan Kazemi added 11 points and 11 rebounds, and Carlos Emory also scored 11 for the Ducks (18-2, 7-0 Pac-12).
Andrew Andrews scored 15, C.J. Wilcox added 14 points and Abdul Gaddy and Scott Suggs had 13 each for the Huskies (12-8, 4-3), whose season-high 21 turnovers contributed to their third straight loss after opening conference play 4-0.
Oregon led 37-33 at halftime but took control with a 7-0 run early in the second half.
Up 43-40, Willie Moore converted a three-point play after a layup in transition off a steal and assist from Singler, who then stole the inbounds pass and scored to make it 48-40.
Another Washington turnover led to a jumper by Singler and the Ducks took the first double-digit lead of the game with 14:22 to play.
Oregon would extend its lead to as many as 14 points before holding on from the free-throw line in the final minutes.
The Ducks were without point guard Dominic Artis, who is out indefinitely with a foot injury. The freshman had started Oregon's first 19 games and averaged 10.2 points and a team-high 3.8 assists. He was also leading the team with 26 3-pointers.
Junior Johnathan Loyd started in place of Artis and finished with nine points and five assists, including a half-court alley-oop pass to Emory for a dunk midway through the first half that put Oregon up 20-19.
But Loyd also had five of the Ducks' 23 turnovers, including seven by Singler.
The first half featured six lead changes and four ties before Emory streaked to the basket for a one-handed slam dunk to put Oregon up 30-28 with 4:12 to play.
Emory followed with a 3-pointer from the top of the circle right before the shot clock expired and then scored on a layup for his seventh straight point to keep Oregon ahead 35-31.