a jounce bumper for mounting in a vehicle suspension system having a bore extending therethrough , the bore configured to receive the piston rod , a nose having a predetermined inner diameter and a predetermined outer diameter , the nose being generally spherical or elliptical shaped and an undercut within the jounce bumper in the bore of the jounce bumper , the undercut creating an ununiformed thickness between the predetermined inner diameter and the predetermined outer diameter so as to provide improved handling characteristics of the jounce bumper .