Woods put in 18 points, while Artis provided six assists to go with his 14 points for the Ducks (16-2, 5-0 Pac-12), who won a fifth straight conference game to begin the season for the first time since 1973-74.
Oregon's Arsalan Kazemi helped out with a double-double of 12 points and 11 rebounds and Damyean Dotson (11, six) also made a big contribution.
The Bruins (15-4, 5-1) got 17 points from Travis Wear, but couldn't avoid the end of their 10-game winning streak.
Kyle Anderson (10 points, 11 rebounds), Norman Powell (11 points) and Shabazz Muhammad (10, six rebounds) also reached double figures for UCLA.
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