  We report a new measurement of the neutron electric dipole moment with the
PNPI EDM spectrometer using the ultracold neutron source PF2 at the research
reactor of the ILL. Its first results can be interpreted as a limit on the
neutron EDM of $|d_{\rm n}| < 5.5 \times 10^{-26} \rm{e} \cdot \rm{cm}$ (90%
confidence level).
