  The Advanced LIGO and Advanced Virgo observatories recently discovered
gravitational waves from a binary neutron star inspiral. A short gamma-ray
burst (GRB) that followed the merger of this binary was also recorded by
Fermi-GBM and INTEGRAL, indicating particle acceleration by the source. The
precise location of the event was determined by optical detections of emission
following the merger. We searched for high-energy neutrinos from the merger in
the TeV - 100 PeV energy range using Baikal-GVD. No neutrinos directionally
coincident with the source were detected within $\pm$500 s around the merger
time, as well as during a 14-day period after the GW detection. We derived 90%
confidence level upper limits on the neutrino fluence from GW170817 during a
$\pm$500 s window centered on the GW trigger time, and a 14-day window
following the GW signal under the assumption of an $E^{-2}$ neutrino energy
spectrum.
