The invention belongs to the technical field of displacement compressor, and relates to a radial multi-cylinder synchronization rotary compressor. The radial multi-cylinder synchronization rotary compressor comprises a crank shaft driven by a motor, a cylinder and a cylinder cover of a cylinder body, a bearing supporting the crank shaft, a stander and a piston making reciprocating movement in the cylinder body, and is characterized in that at least one set of bidirectional piston and a cylinder corresponding to the bidirectional piston are arranged on the crankshaft driven by the motor and on the same plane vertical to the crankshaft, wherein the bidirectional pistons are distributed circumferentially and are provided with a rotating center respectively. The crank shaft, the cylinder body and the pistons can rotate synchronously along the rotating centers respectively. An intake, an exhaust port, an intake and an exhaust valve are arranged on the cylinder cover or the piston bodies. The radial multi-cylinder synchronization rotary compressor has the advantages of small size, good heat radiating effect, low noise, good air-tightness, high working efficiency and therefore is suitable for spreading application on the same type of compressor.