A scroll wheel assembly for computer input device having a housing. The scroll wheel assembly includes a housing and an engagable scroll wheel. The scroll wheel is rotatable with a shaft to preferably cause vertical scrolling of an image on a display. The scroll wheel is laterally tiltable relative to the housing and the shaft. A sensor is preferably positioned within the housing for sensing tilting of the rotatable member. In response to sensed tilting movement of the rotatable member, the image is horizontally scrolled, preferably in the direction of the lateral movement. The computer input device having the rotatable member may take the form of a keyboard, a mouse, a trackball device, or another type of computer input device.