A connector to be used with a strap for wrapping an object. The strap is detached from the connector and has first and second extremities. The connector has a first passage adapted to insert and to lock the first extremity of the strap therein and a second passage having an entrance adapted to insert the second extremity of the strap therein and to prevent the strap from travelling toward the entrance upon insertion. It has a body having a first section with the first passage and a second section with the second passage, wherein the first section has a vertical wall and the second section has a vertical wall distinct from and facing the vertical wall of the first section, and a bridge joining the first and second sections of the body by extending between the vertical wall of the first section and the vertical wall of the second section.