  We identify the range of parameters for which the sterile neutrinos can
simultaneously explain the cosmological dark matter and the observed velocities
of pulsars. To satisfy all cosmological bounds, the relic sterile neutrinos
must be produced sufficiently cold. This is possible in a class of models with
a gauge-singlet Higgs boson coupled to the neutrinos. Sterile dark matter can
be detected by the x-ray telescopes. The presence of the singlet in the Higgs
sector can be tested at the Large Hadron Collider.
