An omni-directional wheel for an omni-directional vehicle that exhibits constant ride height, low vibration, and reduced maximum ground contact pressure is disclosed. The invention consists of a wheel assembly rotatably connected to the omni-directional vehicle chassis. The wheel assembly comprises a hub on which free spinning rollers are rotatably mounted at an angle to the wheel axis. Constant ride height and low vibration operation are accomplished by configuring the rollers with an exterior profile, thickness, material properties and surface grooving to achieve constant deflection of the roller contact surface at all wheel rotation angles.