Abstract: Anti-vibratory support device for a pipe whose thickness is small relative to its diameter, comprising a collar (2) formed by at least two rigid annular sectors (2a, 2b, 2c) which are articulated at at least one of their ends to the succeeding sector, to pivot about an axis parallel to the axis of the pipe (1). At least two successive sectors (2b, 2c) are interconnected by an elastic junction means (10, 11, 12) which enables the collar (2) to be closed. Parallelepipedic pads (18) made from knitted stainless steel wire disposed in cases (15) are interposed and put under compression between the collar (2) and the pipe (1). The invention is in particular applicable to pipes conveying liquid sodium of the secondary circuit of fast neutron nuclear reactors.