A connector has female and male housings (10, 60). A cam pin (63) projects from the male housing (60), and a jaw (65) bulges out at the end of the cam pin (63). A lever (30) is mounted to the female housing (10), and has a cam groove (33) for engaging the cam pin (63). A step (38, 39) in the cam groove (33) defines an accommodating portion (42) for the jaw (65). The depth of the accommodation portion (42) is larger near the entrance of the cam groove (33) so that the jaw (65) initially is accommodated loosely. However the depth of the accommodating portion (42) is smaller towards the back of the cam groove (33) to prevent loose movements.