Levi Haines, Carter Starocci, Aaron Brooks, and Greg Kerkvliet were named Dan Hodge Trophy finalists.
The Nittany Lions earned 172.5 points through six sessions.
Aaron Brooks and Carter Starocci are the first Penn State wrestlers to secure four individual national titles.
Kasak won seven straight consolation matches to take third place in the NCAA Championships.
Brooks is the fifth Nittany Lion to win the trophy.
The Nittany Lions clinched the team title during Session IV of the 2024 NCAA Championships.