  We present the first direct spectroscopic measurement of the stellar velocity
dispersion function (VDF) for massive quiescent and star-forming galaxies at
$0.6 < z \leq 1.0$. For this analysis we use individual measurements of stellar
velocity dispersion from high-S/N spectra from the public Large Early Galaxy
Astrophysics Census (LEGA-C) survey. We report a remarkable stability of the
VDF for both quiescent and star-forming galaxies within this redshift range,
though we note the presence of weak evolution in the number densities of
star-forming galaxies. We compare both VDFs with previous direct and inferred
measurements at local and intermediate redshifts, with the caveat that previous
measurements of the VDF for star-forming galaxies are poorly constrained at all
epochs. We emphasize that this work is the first to directly push to
low-stellar velocity dispersion ($\sigma_\star > 100$ km s$^{-1}$) and extend
to star-forming galaxies. We are largely consistent with the high-sigma tail
measured from BOSS, and we find that the VDF remains constant from the median
redshift of LEGA-C, $z\sim0.8$, to the present day.
