Brooke White netted a pair 55 seconds apart late in the second period to give the Huskies a 3-1 lead from which they would not look back.
Northeastern goaltender Erika Silva weathered a storm late in the third period but would not relent as the Huskies held on for a narrow one-goal victory.
The Huskies will face top-ranked Brown in the ECAC semi-finals.