The connector consists of a connector housing with a plurality of terminal accommodating chambers and a terminal locking member mounted to the rear portion of the connector housing. The terminal locking member is fitted to the connector housing in one of two engagement states--a preliminarily engaged state and a fully engaged state. The terminal locking member has resilient support pieces for fixing the terminal lugs in the terminal accommodating chambers. When the terminal locking member is moved backwardly from the preliminarily engaged state, the resilient support pieces ride on triangular engagement projections formed on the connector housing, moving outwardly out of the insertion path of the terminal lugs. This allows the terminal lug in question to be pulled out without disengaging the terminal locking member from the connector housing.