Danny Miller set a school career scoring record by kicking four field goals in the 16th-ranked Hurricanes' home victory.
Miller, who kicked a 55-yard, last-minute field goal to beat Florida in the season opener, made a 44-yarder with 5:58 remaining in the first quarter. He kicked field goals of 50 and 34 yards in the second quarter as Miami took a 9-0 halftime lead.
The senior made a 37-yarder in the third period to give him 186 career points, one more than former Miami player Harry Gahul.
The Hurricanes (2-0), who have won seven in a row, drove 29 yards after a punt to set up Miller's first field goal. They used David Jefferson's fumble recovery to set up his 50-yarder with 12:29 left in the half.
Miller's third field goal came after Houston failed to capitalize on its first break of the game, Eugene Lockhart's fumble recovery at the 25-yard line.
Two Houston running plays gained seven yards, but Miami tackle Bob Miller sacked quarterback Audrey McMillian for a 13-yard loss on third down.
Jeff Shaffer came on to try a 46-yard field goal, but his kick was wide left.
Miami quarterback Jim Kelly then completed a 53-yard pass to Rocky Belk that set up Miller's 34-yarder.