A connector which makes it possible to accommodate positional displacement from a mating connector, and prevent the contact force and the amount of deformation of contacts from becoming too large. Fixed-side contacts are fixed to a fixed-side housings. A movable-side housing is assembled to the fixed-side housing slidably in a direction orthogonal to a fitting/removing direction in which the movable-side housing is fitted to and removed from the mating connector. Movable-side contacts each include first contact portions brought into contact with an associated one of the fixed-side contacts, and second contact portions brought into contact with an associated one of mating contacts of the mating connector. Contact-accommodating chambers for accommodating the movable-side contacts are formed in the movable-side housing such that each movable-side contact can be pivoted about a pivotal axis extending orthogonal to the fitting/removing direction.