  We extract the shape of the stellar velocity ellipsoid as a function of
radius in M87 from van der Marel's (1994) velocity dispersion data. We include
the gravitational force of a central black hole with the mass quoted by Harms
et al. (1994). The kinematical data are corrected for the effects of seeing and
instrumental blurring using a nonparametric algorithm. We find that the stellar
motions in M87 are slightly radially anisotropic throughout the main body of
the galaxy. However the tangential velocity dispersion exceeds the radial
velocity dispersion within the inner 1''-2'' by a statistically significant
amount. A number of models for the formation of nuclear black holes predict a
tangential anisotropy in the stellar motions, and our results provide evidence
for such an effect in M87.
