We describe high resolution V- and I-band images obtained with the HST Planetary Camera of the center of the prototype starburst galaxy M82. The deconvolved images reveal a remarkable complex of over 100 compact, luminous ''super'' star clusters, concentrated to the inner few 100 pcs of the galaxy. These clusters typically have half-peak intensity sizes of similar to 3.5 pc, a large range of (V-I) color, and absolute magnitudes of M(V) similar to -11.6, brighter than any cluster in the Local Group. Most of the clusters are themselves grouped into super associations which are seen as bright patches on ground-based images of M82. We examine positional correspondences with X-ray, infrared, and radio sources and argue that the optically bright structures containing the clusters are those parts of the starburst core which happen to be the least obscured along the line of sight.