The invention discloses an improved means for terminating an end of a fibre rope which reduces the abrasion of the fibres during repeated tensioning of the rope. The means comprises a socket (1) in which at least part (2) of the inner wall is tapered, and a member (3) having the shape of a cone which fits within the socket so as to provide a space between the tapered inner wall of the socket and the body of the cone of substantially constant annular area. The improvement comprises the member (3) being of such length that when the means is in use to terminate an end of the rope (5), no portion of the socket (1) projects beyond the member (3) in a manner whereby it makes contact with the fibres of the rope to cause abrasion of the fibres.