A method of fixing a rail on a rail-support by metal spikes each comprising a round shaft having a top and terminated by a head for bearing against a rail flange with at least the bottom portion of the spike shaft being received in the rail-support in such a manner that the spike head is directed away from the rail-supporting surface of the rail-support. The bottom portion of the shaft includes at least one zone made of a plastically deformed material, and an antirotation structure is provided co-operating with complementary parts of the rail support for preventing any rotation of the bottom portion of the spike relative to the rail support when a couple below a predetermined value is applied to the top portion of the spike. The bottom portion of the shaft is placed in the rail support, the rail is placed on the rail support in the position in which it is to be fixed, and then a sufficient twisting couple is applied to the plastically deformable zone of the spike by twisting the top portion of the spike to bring the head over and bearing against the rail flange by plastic deformation in the plastically deformable zone.