A connector has an inner housing (11) accommodating female terminal fittings (80); an outer housing (12) disposed to surround a periphery of the inner housing (11); and a rubber member (70) disposed to be sandwiched between the inner and outer housings (11, 12). When a mating housing (90) is fit between the inner and outer housings (11, 12), the rubber member (70) is held therebetween and is compressed in a fit-on direction and with a fit-on surfaces of the inner and mating housings (11, 90) kept in contact with each other in a pressed state.