In the connector, a female beak of a female housing includes a climbing surface formed on an end part at a removing direction side, and a tip end projection that protrudes in a removing direction from an end part at an upper direction side of the climbing surface. A male beak of a male housing includes a climbed surface formed on an end part at an inserting direction side, and that comes into contact with the climbing surface in a fitting direction. After connection of a male terminal housed in the male housing with a female terminal housed in the female housing is started, a tip end projection faces the male beak in a vertical direction. After the tip end projection faces the male beak, the climbing surface comes into contact with the climbed surface.