A connector includes an inner housing configured to accommodate and hold terminals that are crimped onto respective ends signal wires, a shielding shell formed in a tubular shape that is attachable tothe inner housing, and an outer housing having an inner housing holding portion configured to hold the inner housing inside the inner housing holding portion. The shielding shell is configured to bedetachably attached to the inner housing. The inner housing has a looseness suppressing structure between the inner housing and an inner surface of the inner housing holding portion. The looseness suppressing structure is configured to allow the inner housing to be held inside the inner housing holding portion without looseness when the shielding shell is attached to the inner housing and also when the shielding shell is not attached to the inner housing.