Connector for medical use comprising: a body joined to a line or adapted to be connected at one of its ends to a tubing in which a fluid flows, and a male luer lock connection comprising a base mounted rotatingly on the body and cooperating by friction with it, without any possible translational movement. The base is joined to a hollow tubular body, having a threaded inner surface and a male central luer cone. The outer surface of the body and the inner surface of the base of the connection, cooperating by friction, have a spherical then cylindrical shape.