A connector having a plug connector and a receptacle connector, one of which includes a first fixed insulator, first contacts aligned in a first direction orthogonal to a connecting/disconnecting direction and each including a first resiliently deformable portion deformable in a second direction orthogonal to the connecting/disconnecting direction and the first direction, a first movable insulator supported by the first contacts, and partition walls on the first fixed insulator and/or the first movable insulator. The other of the plug connector and the receptacle connector includes a second fixed insulator, second contacts aligned in the first direction, each including a second resiliently deformable portion deformable in the first direction and contactable with one first contact, and a second movable insulator supported by the second contacts and engaged with the first movable insulator when the first and second contacts come in contact with each other.