Penn State (3-1) bounced back from a 19-point home loss to top-ranked Connecticut in its last game.
Lucas scored at least 17 points for the fourth consecutive game. Joining Lucas in double figures were Candice Agee with a career-high 16 points, Ariel Edwards and Kaliyah Mitchell 14 apiece and Tori Waldner 10. Alex Harris had 11 rebounds.
The Lions shot 49 percent while holding the Bison (1-3) to 25 percent, scoring 25 points off turnovers. They led 53-23 at the half. Penn State had a 56-32 advantage on the boards.
Audrey Dotson led Bucknell with 13 points and 12 rebounds.
Penn State has never lost in 13 meetings with Bucknell.