Macroscopic cosmic antimatter objects are predicted in baryonasymmetrical Universe in the models of strongly nonhomogeneousbaryosynthesis. We test the hypothesis of the existence of an oldglobular cluster of anti-stars in the galactic halo by evaluating theflux of helium anti-nuclei in galactic cosmic rays. Due to the symme-try of matter and antimatter we assume that the antimatter clusterevolves in a similar way as a matter cluster. The energy density ofantiparticles in galactic cosmic rays from antimatter globular clusteris estimated. We propose a method for the propagation of a fluxof antinuclei in a galactic magnetic field from the globular cluster ofantistars in the Galaxy.