The distribution of old galactic neutron stars is computed for model galactic potential and initial neutron star velocity distribution following from evolution scenario of binary systems. Neutron stars are supposed to get their initial velocities during (asymmetric) supernova explosion of a single massive (M,, > 10 Ma) star or a massive component of a binary system. Old neutron star population is shown to be capable of filling a torus-like area extending to a few tens kiloparsecs above the galactic plane. Statistical tests related to the spatial distribution of gamma-ray bursts are carried out for the distribution obtained. Recent results from the BATSE device onboard the GRO observatory have shown a full isotropy of gamma-ray burst locations the sky and their inhomogeneous spatial density (( V/V,,,) = 0.33 f 0.02, (sin2 6) = 0.31 f 0.02, (cos 0) = 0.008 f 0.035) (Meegan et al., 1992), where 0 is the angle between the source and the galactic center, b is the galactic latitude and ( ) denotes averaging over the whole sample. In the case of a purely homogeneous, isotropic distribution these quantities would be, respectively 1/2, 1/3 and 0. These observed statistical features of gamma-bursts greatly reinforced interest to the nature of their possible progenitors. An attractive possibility of old galactic neutron stars looses its credibility, especially in view of negative results of searching for any spectral feature in the gamma-burst spectra obtained by BATSE. Some indications appear that gamma-ray bursts can be divided into at least two types: the strong bursts having hard spectra, with (V/Vm,,) > 1/2 and the weaker ones with softer spectra and (V/V,,,) < 1/2 (APEX experiment results, Mitrofanov et al., 1992; see also Lingenfelter & Higdon, 1992). These results might indicate that two populations of gamma-ray burst progenitors having different spatial distributions actually exist, viz. that producing weak bursts and lying outside the galactic disc, and that producing stronger bursts and residing in the galactic disc. Brainerd (1992) has shown that the BATSE results can be reconciliated with the old neutron star paradigm if one considers an extended (2100 kpc) halo consisting of old neutron stars. The question arises, whether there is any mechanism of natural populating such a halo by old neturon stars? The spatial distribution of old galactic neutron stars as putative gamma-ray burst progenitors has been studied earlier (e.g. Paczynski, 1990; Hartmann et al.,