Arrangement introduced on rail for movable sockets susceptible to receive several sockets by the fitting and turn on the rail's body. It comprises an electrical energy conductor rail with a body that internally has a rectangular gap that prolongs for the whole extension of the rail configuring an access and housing for movable sockets to be inserted on the rail. Once chosen the assembly local of the movable sockets along the rail longitudinal profile, each socket has its metallic contacts inserted in the rail's gap from the frontal aperture and turned to 90 degrees, making the convex saliences, with interference, to meet the metallic plates, closing electric contact and energizing said socket. The removal of a socket occurs by a new 90 degrees turn in relation to the rail, resulting on the separation of the metallic contacts of the plates and the consequent desenergization of the socket.