Abstract: The invention relates to a safety connection for drilling purposes, especially for oil wells. The connection comprises two portions (1,2) which, during normal drilling, transmit the torque and the thrust required for the tool to operate, said torque and thrust being transmitted via a drive cone (11) and fluting (10). In the event of the tool becoming jammed downhole, strong axial traction breaks calibrated traction links (4) at a predetermined force, thereby separating said two portions (1, 2) and making it possible to abandon downhole solely the tool and the connection portion (1) connected thereto.