The present invention relates to an improvement in the configuration of the inner face of a housing of a through vane type rotary compressor for use in a car cooler or the like, in which both the top ends of a vane passing through the center of a rotor are always kept in sliding contact with the inner face of the housing.In the present invention, the configuration of the inner face of the housing is determined so that substantial face-to-face contact is produced between the rotor and the housing in a certain region with the point for contact with the rotor being as the center, and the configuration of the subsequent curved portion is defined by such a curve that the velocity of the sliding movement of the vane in the radial direction of the rotor is expressed by a gentle function where said velocity monotonously changes.The through vane type rotary compressor of the present invention is improved over the conventional through vane type rotary compressor in the volumetric efficiency, and the through vane type rotary compressor of the present invention is very excellent in the low-noise and low-vibration characteristics.