James and D.J. Augustin finished with 19 points each, and the Longhorns (7-0) survived their closest game yet after winning their first six by at least 15 points.
James also had 10 rebounds.UCLA's first loss of the season ended the Bruins' 25-game home winning streak.
Luc Richard Mbah a Moute had 14 points, and Darren Collison added 12 in his first start for the Bruins (7-1).
UCLA became the highest-ranked opponent Texas has beaten in a true road game in school history. Their previous best win came over No. 4 Memphis in January 2006.
Damion James has also been named the Big 12 player of the week. James averaged 19 points and ten rebounds in two Texas wins.
(Copyright, The Associated Press, 2007)