With preseason All-America forward Dillon Brooks on the bench and his left leg in a boot to protect a sprained foot, the Ducks (18-2, 7-0 Pac-12) broke a 104-year-old school record with their 16th consecutive win and 38th in a row at home.
Jordan Bell and Tyler Dorsey each had 11 points for Oregon, which overcame 19 turnovers by shooting 11 of 25 from 3-point range and outrebounding Stanford 40-29.
Marcus Allen had 13 points as the only scorer in double figures for the Cardinal (11-9, 3-5). Stanford went more than eight minutes of the second half without a field goal, shot just 32.3 percent overall (20 of 62) and had two players foul out.
Oregon spotted the Cardinal the first five points and then hit four straight 3-pointers in taking a 16-7 lead. The margin grew to 20 late in the half as the Ducks went 8 of 17 beyond the arc and 14 of 26 (53.8 percent) overall.
Stanford, meanwhile, went the last five minutes of the half without a field goal and trailed 40-22.
The Ducks, who led by as many as 25 late in the game, have won their last six games by an average of 24.3 points.
Stanford hasn't swept a conference road trip since 2010. The Cardinal hope to have leading scorer Reid Travis (16.6 ppg) back from a shoulder injury in time for a visit to California in eight days.
Oregon finishes the first half of the Pac-12 season next week at Utah and Colorado, a road trip it hasn't swept in four tries since the Utes and Buffaloes joined the conference in 2011.
Stanford, now 0-6 against ranked teams, hits the Pac-12 midpoint at California on Jan. 29.
Oregon goes for its first 8-0 start to conference play in 91 years at Utah on Thursday. The Ducks finished 10-0 in the Pacific Coast Conference in 1925-26.