Kodi Justice had 17 points and freshman Kimani Lawrence had a career-high eight points with seven rebounds for the Sun Devils (19-6, 7-6), who have won three in a row and could find their way back into the AP Top 25 after a one-week absence.
Aaron Holiday had 20 points and five assists and Thomas Welsh had 14 points and eight rebounds for UCLA (17-8, 8-5), which had a four-game winning streak broken two days after it controlled No. 13 Arizona in an 84-72 victory in Tucson.
Kris Wilkes and Gyorgy Goloman had 11 points apiece for the Bruins.
The Sun Devils led 40-32 at halftime and never led by fewer than eight after Evans' 3-pointer in the first minute of the second half.
Lawrence hit two free throws with 6:30 remaining to make it 67-55 before Holder hit a layup and Evans hit a jumper for a 75-59 edge with 3:47 left.
Holiday hit a 3-pointer with 51 seconds remaining to bring UCLA within 85-77, but the Sun Devils made 11 free throws in the final 1:57 to maintain control.
Holder and Justice had two 3-pointers apiece as the Sun Devils were 9-of-29 from distance.
The Sun Devils committed only seven turnovers, one more than in their 80-79 victory over USC on Thursday.
UCLA shot 45.5 percent and went 8-for-26 from 3-point range after hitting 51.6 percent against Arizona on Thursday.
Welsh had seven points, including a 3-pointer, when the Bruins opened a 22-18 lead nine minutes into the game before Arizona State went on an 11-0 run fueled on two 3-pointers by Evans and one by Holder.
Martin's 3-pointer with four minutes remaining gave the Sun Devils a 36-26 lead en route to their 40-32 halftime edge.
The Sun Devils meet No. 13 Arizona at home Thursday.
--Field Level Media
UCLA | Arizona State | |
Aaron Holiday 20 | Scoring | Shannon Evans II 23 |
Aaron Holiday 5 | Assists | Tra Holder 4 |
Thomas Welsh 8 | Rebounds | Kimani Lawrence 7 |
Aaron Holiday 4 | Free Throws Made | Tra Holder 8 |
Gyorgy Goloman 2 | Steals | Kimani Lawrence 3 |
Gyorgy Goloman 1 | Blocks | Romello White 2 |
Team | Points | FG% | 3PM-3PA | FTM-FTA | Assists | Rebounds | Blocks | Steals | Turnovers |
UCLA | 79 | 45.5 | 8-26 | 11-12 | 11 | 33 | 4 | 2 | 12 |
Arizona State | 88 | 42.2 | 9-29 | 25-28 | 13 | 37 | 4 | 9 | 7 |