  A new model of gamma radiation (GR) generated by neutralino annihilation in
neutralino stars (NeS) is proposed. Diffuse Galactic and extragalactic GR is
calculated for this model and is shown to be in a reasonable agreement with
observations.
  The point source component (P) is picked out among nonidentified discrete
gamma sources from EGRET catalog. This component is shown to be distributed
isotropically and homogeneously, as it should be for NeS. Gamma radiation from
significant part of P-sources is supposed to be the direct radiation from
individual NeS. This supposition is shown to be in agreement with observations.
The comparison of the theory with observed GR gives a possibility to establish
some important features of CDM particle.
