Provided is a single-groove and short-tail pulling rivet and an erection method thereof, and the pulling rivet comprises a single groove and a short tail having a broached groove with a continuous and smooth cambered surface, and is characterized by easy manufacturing, low cost and convenient erection. The broached groove is an arc surface with three sections of different radiuses, which solves stress concentration and sticking of a single-groove and short-tail rivet during riveting, and allows a claw of a riveting machine to be engaged to the best position automatically. The tooth profile of a locking groove section of the rivet is a curve combining an arc and a straight line, which greatly improves fastening force. In a word, the invention solves insufficient clamping degree of the short tail, seizing during riveting, blocking of the broached groove, failed riveting, shortage and loss of tightness of existing short-tail pulling rivets, and meets the performance and reliability requirements of the fastening systems for rolling stocks.