The NIRCam instrument will provide near-infrared imaging capabilities for the James Webb Space Telescope. In addition, this instrument contains the wavefront-sensing elements necessary for optimizing the performance of the primary mirror. Several of these wavefront-sensing elements will reside in the NIRCam Filter Wheel Assembly. The instrument and its complement of mechanisms and optics will operate at a cryogenic temperature of 35K. This paper describes the design of the NIRCam Filter Wheel Assembly.