An improved hollow point bullet has a core of a soft, dense metal having a generally cylindrical rear section, a tapering front section, and an open forward end opening to a cavity. A jacket of a harder metal than the core surrounds at least the rear and front sections of the core, and extends at least partially into the cavity. An expander of a rigid polymer is disposed in the cavity, substantially filling the cavity and providing at least one passage through to the bottom of the cavity.