A double-lock connector includes a double-lock member, which can be used for locking the contacts in contact cavities arranged in a staggered pattern and which provides for a smooth operation when the double-lock member is shifted from a temporary-latched position to a fully-latched position. The double-lock member 50 has two elongated arms 51a, 51b which can slide along the outer surfaces of side walls of an inner housing 20. Along the elongated arms 51a, 51b, locking members 60are provided, which are arranged at fixed intervals in a longitudinal direction and facing inside. The cross section of the locking members 60 is of an L-shaped configuration and they lock electrical contacts 100 in contact cavities 30 when the double-lock member is in the fully-latched position. Along outside surfaces of the housing 20, grooves 28 of L-shaped cross section are formed into which the latching members 60 are disposed. Due to the fact that the latching members 60 are disposed within the grooves 28, the arms 51a, 51b are retained against outer surfaces of side walls of the inner housing 20 when the double-lock member 50 is moved therealong.