A female terminal fitting (10) has a tube (12) with a tab insertion opening (12A) 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.