A connector having a male-side connection section, a liquid flow section where a liquid flow space communicating with the inside of the male-side connection section is provided, a first female-side connection opening and a second female-side connection opening, and a first valve body and a second valve body that are made from an elastic material. The first valve body has a head section and a neck section that connects the head section and a liquid flow section and is thinner than the head section. In the first valve body is formed a slit penetrating from the top face of the head section to the liquid flow space. When a male lure is connected to the first female-side connection opening, the slit is opened and the flow path in the male lure and the inside of the male-side connection section are communicated through the liquid flow space.