The present disclosure provides a forced forming apparatus for a plurality of welds in a narrow space, belonging to the field of welding technology, and the apparatus includes a plurality of first backing members arranged adjacent to one another, and second backing member group structures configured to interconnect every two adjacent first backing members; each of the second backing member group structures is used for adjusting a distance between two adjacent first backing members; and a frame enclosed by the first backing members and the second backing member group structures is configured to be clamped on back sides of welds of a workpiece to be welded; and the first backing members and the second backing member group structures are both provided with forming arced faces, and the forming arced faces are arranged opposite to the welds of the workpiece to be welded. According to the forced forming apparatus for a plurality of welds in a narrow space provided by the present disclosure, the distance is variable so that the frame can be clamped on the back sides of the welds. The formed frame simultaneously meets the forced forming requirements of the narrow space and the plurality of welds. The plurality of welds share a set of forced forming apparatus. The installation is simple and the welding efficiency is further improved.