The Longhorns (13-4, 3-2 Big 12) never trailed in their second straight win since a two-game skid that included a blowout loss at home to Oklahoma. Earlier in the day, Texas moved up three spots in The Associated Press poll after a 27-point win at home over No. 18 West Virginia.
Taylor, who has played all five conference games after missing 10 games with a broken left wrist, also had seven rebounds and six assists.
Kenrich Williams scored 10 to lead the Horned Frogs (14-4, 1-4), who were coming off a win at Texas Tech that snapped a 23-game conference losing streak, including postseason tournaments.
Kyan Anderson, who came in sixth in Big 12 in scoring at 13.9 points per game, flirted with the first scoreless game since he was a freshman in 2011, getting in early foul trouble and scoring his only points on a jumper with 6:02 remaining.
Texas blocked TCU's first two shots, both from the perimeter, and held the Horned Frogs to 28 percent shooting in the first half and 33 for the game. Two days earlier, the Longhorns led West Virginia to 24 percent, a school record for a Big 12 regular-season game.
TCU couldn't help itself on free throws either, going 3 of 11 in the first half (27 percent) and 9 of 23 overall (39 percent).
The Longhorns contested TCU jumpers out of their zone defense, but didn't give the Frogs much room around the basket either. Jonathan Holmes emphatically swatted a shot by Karviar Shepherd under the basket in the first half, and Myles Turner blocked a layup try by Trey Ziegler from behind after halftime.
Texas finished with nine blocks, led by three from Cameron Ridley, who also had 10 points.
The Longhorns put the game away with 14-0 run for a 52-28 lead midway through the second half. Felix had nine points during the 6-minute scoreless drought for the Horned Frogs.
Texas: Turner, a freshman was playing his first game close to home, about 20 miles from the high school he attended in the Fort Worth suburb of Euless. He had 11 points, six rebounds and two blocks. ... Jonathan Holmes, who had nine points and six rebounds, and Taylor both left the game briefly in the second half with apparent injuries before returning.
TCU: Although there were no-shows, the Frogs had their first sellout at the 4,759-seat Wilkerson-Greines Activity Center, a high school arena in Fort Worth. TCU's campus arena is being renovated. Another sellout is expected Jan. 28 when No. 11 Kansas visits. The crowd was split about half and half between fans of either school, and the same figures to be true against the Jayhawks. ... TCU's football team was honored at halftime. The Frogs were left out of the first four-team playoff before beating Ole Miss 42-3 in the Peach Bowl and finishing No. 3 in the final Associated Press poll.
Texas: Saturday at home against Kansas.TCU: Saturday at West Virginia.