In the gamma range, polarization detection is particularly difficult. For example, the registration of linear polarization can help in determining the structure of the magnetic field in a jet when generating radiation in gamma-ray bursts. The measurement of linear polarization in the 511 keV line associated with the annihilation of electrons and positrons may be an indicator of the asymmetry of the distribution of radioactive nickel in the scattering shell of Supernovae. The principle of detecting the polarization of gamma radiation is based on the anisotropy of Compton scattering. This property can be used in the development of polarimeters, which are a segmented scintillation detector. The paper presents polarization calibrations for 3 BGO detectors, which are a simplified prototype of a segmented gamma-ray spectrometer (SGS) being developed for the Chibis-AI microsatellite. The complete assembly of the SGS detector consists of 32 BGO bars. Polarization calibrations of the SGS prototype in the 511 keV line were carried out at the experimental facility at the Institute for Nuclear Research of the Russian Academy of Sciences using the isotope \(^{22}\text {Na}\). Also, for comparison, a simulation of the registration of linear polarization was carried out using the Geant4 software package. The experimental results agree withing \(2\sigma \) of simulations.