[en] The basic characteristics of the scintillation time-of-flight system of the ''Gamma-1'' gamma telescope are calculated. The system consists of two scintillation detectors: an upper and lower, each of the 40x40 cm dimensions. These detectors contains four scintillation strips of the 40x10 cm dimensions scanned by two photomultipliers from the opposite face planes. The basic telescope characteristics are light-gathering power G during detection of a gamma quanta diffusion flux and effective area S during detection of gamma radiation of the point source. The simulation program of gamma quanta detection by the telescope time-of-flight system with the help of which its basic characteristics are determined, is considered in detail. The program uses the statistical test method of the electron-positron pair component trajectory, appearing in electrodes of a multigap spark chamber. The calculated distributions of the time intervals for single particles and in the presence of the electron-positron pairs for gamma quanta of forward and backward directions are presented. These distributions are obtained both taking into account the proper time resolution of the detectors and without it. The time resolution for single electrons measured for different photomultiplier specimens varied from 1.0 to 1.5 ns