A fastening clamp for fastening an elongated, rigid object, such as a support profile, a panel, such as a photovoltaic module, a component therefor or the like, to a substructure typically formed from a plurality of supports , comprising: - a clamping element (4, 4.1) with a clamping extension (33; 35, 35.1) intended for attachment to an object (30; 30.1, 30.2) to be fastened, - a connecting part with a connecting element (A) for supporting the fastening clamp (1, 1.1) on an abutment of the support of the substructure, wherein the abutment points in the opposite direction of a contact surface provided by the profile support , on which the object to be fastened is to be placed, which connecting element (A) has an abutment for engaging under the support for support on the abutment of the support , and the connecting part has a support section located adjacent to the lateral end of the support , which, when the fastening clamp (1, 1.1) is fastened to the support , acts against the object to be fastened (30; 30.1, 30.2) and/or a support leg of the clamping element (4, 4.1), and - a clamping device for clamping the clamping element (4, 4.1), which is supported on an object (30; 30.1, 30.2) to be fastened, relative to the connecting part , so that a clamping force can be applied via the clamping element (4, 4.1) to the object (30; 30.1, 30.2) to be fastened, which clamping device has a clamping means , the clamping axis of which, when the fastening clamp (1, 1.1) is fastened to the support , is guided past the lateral end of the support , wherein the abutment on the connecting part side is part of a hook-shaped connecting part for engaging behind a rear edge of the support , and the free end of such a hook-shaped connecting element (A) forms the abutment for support on that inner side of the leg of the support which, with its outer side, provides the contact surface . - a clamping element (4, 4.1) with a clamping extension (33; 35, 35.1) intended for attachment to an object (30; 30.1, 30.2) to be fastened, - a connecting part with a connecting element (A) for supporting the fastening clamp (1, 1.1) on an abutment of the support of the substructure, wherein the abutment points in the opposite direction of a contact surface provided by the profile support , on which the object to be fastened is to be placed, which connecting element (A) has an abutment for engaging under the support for support on the abutment of the support , and the connecting part has a support section located adjacent to the lateral end of the support , which, when the fastening clamp (1, 1.1) is fastened to the support , acts against the object to be fastened (30; 30.1, 30.2) and/or a support leg of the clamping element (4, 4.1), and - a clamping device for clamping the clamping element (4, 4.1), which is supported on an object (30; 30.1, 30.2) to be fastened, relative to the connecting part , so that a clamping force can be applied via the clamping element (4, 4.1) to the object (30; 30.1, 30.2) to be fastened, which clamping device has a clamping means , the clamping axis of which, when the fastening clamp (1, 1.1) is fastened to the support , is guided past the lateral end of the support , wherein the abutment on the connecting part side is part of a hook-shaped connecting part for engaging behind a rear edge of the support , and the free end of such a hook-shaped connecting element (A) forms the abutment for support on that inner side of the leg of the support which, with its outer side, provides the contact surface . <EOS>