We use high-resolution near-infrared spectroscopy from Keck Observatory to measure the stellar velocity dispersions of 19 super star clusters ( SSCs ) in the nuclear starburst of M82 . The clusters have ages on the order of 10 Myr , which is many times longer than the crossing times implied by their velocity dispersions and radii . We therefore apply the Virial Theorem to derive the kinematic mass for 15 of the SSCs . The SSCs have masses of 2 \times 10 ^ { 5 } to 4 \times 10 ^ { 6 } M _ { \odot } , with a total population mass of 1.4 \times 10 ^ { 7 } M _ { \odot } . Comparison of the loci of the young M82 SSCs and old Milky Way globular clusters in a plot of radius versus velocity dispersion suggests that the SSCs are a population of potential globular clusters . We present the mass function for the SSCs , and find a power law fit with an index of \gamma = -1.91 \pm 0.06 . This result is nearly identical to the mass function of young SSCs in the Antennae galaxies .