It is aimed to improve abrasion resistance. A tab (13) of a male terminal fitting (10) is resiliently sandwiched between a resilient pressing piece (34) and a pressure receiving portion (28) in a rectangular tube portion (23) of a female terminal fitting (21), whereby the male terminal fitting (10) and the female terminal fitting (21) are connected. A male conductive member (20) capable of resiliently contacting the pressure receiving portion (28) while rolling is mounted in the tab (13). The female terminal fitting (21) is provided with a female conductive member (36) capable of resiliently coming into contact with the tab (13) by biasing of the resilient pressing piece (34) and capable of contacting the tab (13) while rolling.