A bat having different stiffnesses in different planes relative to a longitudinal axis (i.e., swing axis) of the bat. More specifically, the bat includes a greater stiffness in a vertical plane as compared to relatively more flexible stiffness in a swing plane. This differential stiffness may be accomplished with an intermediate material located within an internal space defined where a handle affixes to a barrel of the bat or alternatively with a transitional member structurally arranged between the handle and the barrel of the bat. The transitional member may provide for vibration and/or shock dampening to minimize or eliminate the “sting” typically associated with monolithic, metallic bats. Additionally, the handle may include a shape that tends to naturally align the vertical and swing planes of the bat when the handle is gripped by a player.