An attachment system for a wearing point on a plough share includes a wearing point forming one of a connection socket and a connection pin, and a holder configured to receive the wearing point and to be fixed to the plough share. The holder forms an other of the connection socket and the connection pin. The connection pin and the connection socket are provided with complementary, cooperating guide portions. The holder is provided with a first bolt-hole group and a second bolt-hole group. The first bolt-hole group is complementary to an attachment-hole group of a left-hand plough share, and the second bolt-hole group is complementary to an attachment-hole group of a right-hand plough share.