A connector includes a housing, a terminal metal fitting inserted into a housing chamber forwardly in a housing direction, and a spacer locking the terminal metal fitting. The terminal metal fitting has a plate-like lock piece extending in the housing direction. The terminal metal fitting is locked by contacting a rear edge of the lock piece with the spacer. The housing has an opening region between two adjacent terminal housing chambers and a support wall extending from a peripheral end portion of the opening region backwardly in the housing direction. The support wall supports a tip portion of the terminal metal fitting to eliminate movement of the tip portion through the opening region, even when the terminal metal fitting moves backwardly in the housing direction while allowing the rear edge of its lock piece to dig into the spacer.