Abstract: Extrusion head for sheathing a strand-form product, in particular a cable, comprises a central hollow mandrel having a central bore through which the product to be sheathed passes. An intermediate mandrel surrounds the central mandrel with an annular material flow channel between forward portions of the mandrels for applying a first layer of sheathing. The intermediate mandrel has at its forward end a parti-spherical enlargement by means of which it is mounted in a socket at the forward end of a tubular guide piece with a ball and socket type joint permitting angular movement of the intermediate and central mandrels relative to the guide piece which is received in a casing mounted on a support. A second annular material flow channel is provided between the casing and the intermediate mandrel for applying a second layer of sheathing.