A female connector downsized by downsizing female-side contacts. Each female-side contact portion is formed of a first connection portion having an arm portion extending from a base portion in a width direction, a first supporting portion integrally connected to one end of the arm portion, and a second connection portion having a second supporting portion integrally connected to the other end of the arm portion. The first and second supporting portions extend in a direction away from the arm portion, and then extend toward the central portion of the arm portion. When a male connector and the female connector are fitted, each male-side contact portion is received outside an associated female-side contact portion and then is moved inside therefrom. Then, the male-side contact portion is sandwiched by a first and second contact point portions formed respectively at the first and second point portions.