Gretchen Gilmore and Kristin O'Neill each scored six goals in the upset win for Penn State.
With six games left in the regular season, Penn State must continue to share the wealth on offense and win face-offs.
Towson held Kristin O'Neill to two goals from nine shots.
The Nittany Lions jumped nine spots after defeating ranked Ivy League teams back-to-back.
Mac Costin and Kevin Winkoff both secured hat tricks in coach Jeff Tambroni's 100th career win with Penn State.
The Nittany Lions struggled to score in the first half and find their rhythm against the Greyhounds.