But the Huskies were sloppy on offense and shot just 39 percent from the field in the second half to enable the Mountaineers to stay close until late before losing their fifth straight.
``Tonight we really got on their shooters,'' UConn head coach Jim Calhoun said. ``The bottom line is for us to play defense like that and hold a team that low in scoring."
Charlie Villanueva added 16 points and Marcus Williams had 12 for Connecticut.
Tyrone Sally scored 16 points and Patrick Beilein had 12 for West Virginia, which trailed the entire game.
``We are just not shooting well,'' Mountaineers coach John Beilein said. ``It's a broken record, but we'll stay with it.''
West Virginia trimmed an 11-point deficit to 33-28 early in the second half after a three-point play by Sally.
Anderson had four points during an 8-0 run that put the Huskies ahead 43-30 midway through the period.
West Virginia stayed with the long ball despite going just 8-of-33 on 3-pointers and shooting 29 percent overall. Kevin Pittsnogle hit two 3s a minute apart to pull the Mountaineers within 45-39 with 8:19 remaining.
But Anderson then hit two 3-pointers a minute apart for a 55-46 lead with 5:38 left. Connecticut scored all of its points on free throws the rest of the way, going 13-of-16 from the line.
Anderson, Villanueva and Williams combined for Connecticut's final 25 points.
West Virginia's 22 first-half points were its second-lowest of the season. The Mountaineers, who started the season 10-0, were held under 70 points for the sixth straight game.
Connecticut, making its first appearance in Morgantown since 1999, beat the Mountaineers for the fifth straight time and 10th in 11 conference tries.