This fixator (1) comprises a rigid bar (7), two pin-holder assemblies (8, 9) which can be moved relative to this bar (7), and means (13, 22) with which it is possible to immobilize each pin-holder
assembly (8, 9) in a defined position relative to the bar (7).According to the invention:the bar (7) has a cylindrical main part (10) and a spherical part (11) at one end;a first pin-holder
assembly (8) comprises a one-piece body (12) with a bore passing through it to permit its engagement by sliding on the cylindrical part (10) of the bar (7); andthe second pin-holder
assembly (9) comprises a one-piece body (15) in which a recess (16) is formed, this recess (16) having a zone of partially spherical shape with a
radius slightly greater than that of said spherical part (11), this zone being such that it can receive this spherical part (11) with pivoting, without lateral play, and with a possibility of articulation of said second pin-holder assembly (9).