Brandon Taylor and D.J. Newbill added 10 points each for the Nittany Lions (7-4), who used a 32-5 first-half run to open a commanding 34-8 lead against the Wildcats (4-7), of the America East Conference.
Penn State, of the Big Ten Conference, has won three straight and is 6-1 at home.
New Hampshire shot just 17.9 percent (5 of 28) in the first half, enabling Penn State to open a 39-14 halftime lead. The Nittany Lions shot 55.2 percent (16 of 29) before halftime, with Taylor scoring all 10 of his points.
Penn State continued to widen its lead in the second half as Marshall scored eight points and New Hampshire was unable to come back with 28 percent second-half shooting (7 of 25).
Penn State surpassed 70 points for the third straight game. Newbill, the sophomore point guard, has scored 10 points or more in 10 of the team's 11 games.
The Nittany Lions' lead reached 52-26 on a jumper by Ross Travis after Donovon Jack blocked a shot by New Hampshire's Chandler Rhoads. Penn State extended the margin to 64-32 as nine of the team's 12 players scored at least three points.
Travis, usually a starter for the Nittany Lions, sprained a knee in practice Thursday but was able to play with a brace. He came off the bench and scored four points and had six rebounds in 21 minutes.
Former Kentucky guard Ed Davender, the only Wildcat with at least 1,500 points and 400 assists, has died. He was 49.
Guard Naz Mitrou-Long, whose 2015-16 season ended in December due to hip problems, has been granted a hardship waiver for the coming season, Iowa State said.
As the Sooners look to life without superstar Buddy Hield and his sidekicks, it's clear their unseasoned players will need to grow up fast.