Hill carried the ball 28 times, averaging 7.7 yards a rush. He had a scoring run of 14 yards in the second period and his fourth-quarter 37-yard touchdown run proved to be the difference in the game.
Hill's second touchdown, coming with 2:02 to go, was followed by a 96-yard kickoff return by Iowa's Jordan Cotton and the Hawkeyes capitalized with a 4-yard, C.J. Beathard-to-Kevonte Martin-Manley pass that got Iowa within one touchdown.
An on-side attempt by the Hawkeyes failed and LSU ran out the clock.
Quarterback Anthony Jennings scored the first Tigers' touchdowns, going in from 2 yards out. Hill made the score 14-0 midway through the second quarter.
Iowa intercepted Jennings and had a long return that set up a 2-yard scoring run by Mark Weisman in the third period before Hill's 37-yard run put the Tigers ahead by 14.