A female terminal fitting ( 10 ) has a tube ( 12 ) with a tab insertion opening ( 12 A) for receiving a male tab ( 80 ). A contact piece ( 30 ) and receiving pads ( 17 ) are provided in the tube ( 12 ) for sandwiching the male tab ( 80 ). The contact piece ( 30 ) includes a resiliently deformable contact main body ( 31 ) that is curved to come closer to the receiving pads ( 17 ) and can resiliently contact a widthwise middle part of a plate surface of the male tab ( 80 ) at a convex contact position along the curve. Shake preventing portions ( 32 ) are formed at opposite sides of the contact main body ( 31 ) and contact opposite sides of the male tab ( 80 ) for preventing the male tab ( 80 ) from shaking about the center of axis thereof.