Recent results from the Hubble Space Telescope (HST) have resolved starbursts as collections of compact young stellar clusters. Here we present a photometric catalog of the young stellar clusters in the nuclear starburst of M82, observed with the HST WFPC2 in Hα (F656N) and in four optical broadband filters. We identify 197 young super stellar clusters. The compactness and high density of the sources led us to develop specific techniques to measure their sizes. Strong extinction lanes divide the starburst into five different zones, and we provide a catalog of young super star clusters for each of these. In the catalog we include relative coordinates, radii, fluxes, luminosities, masses, equivalent widths, extinctions, and other parameters. Extinction values have been derived from the broadband images. The radii range between 3 and 9 pc, with a mean value of 5.7+/-1.4 pc, and a stellar mass between 104 and 106 Msolar. The inferred masses and mean separation, comparable to the size of the super star clusters, together with their high volume density, provide strong evidence for the key ingredients postulated by Tenorio-Tagle and coworkers as required for the development of a supergalactic wind. Based on observations made with the NASA/ESA Hubble Space Telescope, obtained from the data archive at the Space Telescope Science Institute. STScI is operated by the Association of Universities for Research in Astronomy, Inc., under NASA contract NAS5-26555.