A small matching connector which may prevent the occurrence of a positional deviation between male and female contacts when male and female connectors are fitted to each other and may remove foreign matter adhered to the female contacts is provided. The female contacts arranged along the inner peripheral surface of the female connector are inclined with respect to a direction perpendicular to the insertion direction of the male connector into the female connector and parallel with the longitudinal direction of the inner peripheral surface. The adjacent female contacts whose inclined surfaces are opposed to each other are paired and have the same inclination angle with respect to the inner peripheral surface.