A support system (16) for a structural casing of a turbomachine (10), which comprises: a handling fitting (17) comprising a front edge (19) provided with one or more hole(s) (26) for receiving one or more screw(s) (24) for attachment to a flange (23) formed on the casing (10), a rear edge (20) provided with a cavity (32) for receiving a projecting boss (29) formed on the casing (10); a pair of jaws (31) for gripping the boss (29), that are mounted in the cavity (32); at least one screw (33) for adjusting the position of the jaws (31), mounted on the fitting (17) and engaging with at least one jaw (31).