The invention provides a suspension structure for suspending a turboprop (10) having two unducted propellers on a structural element of an aircraft, the suspension structure comprising a cradle (18) for fastening to a structural element of the aircraft and having two lateral beams (22) connected to a main beam (20) extending parallel to a longitudinal axis (14) of the turboprop so as to form a V-shaped cradle structure, the cradle being fastened to the turboprop via two angle members (24) connecting each free end of the lateral beams of the cradle to the turboprop, via an axial link (28) connecting one end of the main beam of the cradle of the turboprop, and via at least one transverse link (30) situated in a plane extending transversely relative to the longitudinal axis of the turboprop and connecting the cradle to the turboprop.