Halide perovskites are a promising medium for the creation of microlasers. Random lasing in single crystals can provide principal information on the nature of laser radiation in these materials. This paper demonstrates random lasing in a MAPbI3 (MA+=CH3NH_3+) single crystal at a temperature T = 30 K and pulsed optical excitation with a repetition rate of 80 MHz. The observed laser radiation has a multimode composition with a quality factor of individual modes Q ~ 1200 and threshold behavior. The paper also proposes a method for separating the background non-polarized photoluminescence and lasing signals. Keywords: halide perovskites: random lasing: MAPbI3.