A connector (A) is provided with a housing (10) made of synthetic resin, press-fit holes (13) formed through the housing (10) and each having a substantially rectangular cross-sectional shape, and terminal fittings (20) to be inserted into the press-fit holes (13). Each terminal fitting (20) has a first press-fit portion (25) with a substantially rectangular cross-section and brings two substantially parallel flat areas (26) into surface contact with the inner wall of the press-fit hole (13) in a fluid- or liquid-tight manner. The first press-fit portion (25) has first and second bulges (27A, 27B) that locally bulge in forward and backward directions parallel to the two flat areas over the entire areas in a width direction connecting the two flat areas (26) and press the inner wall of the press-fit hole (13) in a fluid- or liquid-tight manner.