An electrical female terminal, manufactured from a single metal sheet, comprising a crimping portion and a contact portion adapted to mate with a corresponding male terminal to be inserted therein, the contact portion comprising an outer frame having a top wall, a bottom wall parallel and opposed to the top wall, and two side walls, an inner frame encased in the outer frame, a first elastic contact member extending from the inner frame, and bearing on an inner portion of the bottom wall, a second elastic contact member extending from the inner frame and bearing on an inner portion of the top wall. The first and second elastic contact members have a convex shape oriented toward one another.