  A project of search for oscillations of reactor neutrinos on a short, 5 - 15
meters, baseline with liquid scintillation position-sensitive detector POSEIDON
is described. The oscillations of the electron antineutrinos into sterile
neutrinos will be searched at 100 MW research reactor with the size of the
active zone of about 0.5 m. The values of the oscillation parameters available
for research are in the region $\delta m^2 = (0.3 - 6) \rm{eV}^2$ and
$\rm{Sin}^2(2\theta)\geq 0.01$.
