A riveting machine for riveting a rivet at a riveting position of a pair of members (210,220) to be fastened and the relative positions of which are fixed, the riveting machine comprising: a first support body that is formed in a rod shape having a through hole (llAa) extending along an axis and is configured to support one member of the pair of members (210,220) to be fastened at the riveting position; a second support body that is formed in a rod shape having a through hole extending along the axis and configured to support the other member of the pair of members (210,220) to be fastened at the riveting position; a rivet suction part that is formed in a cylindrical shape extending along the axis, and configured to suction a head part of the rivet with an interior thereof being in a negative-pressure state in a state where one end is brought into contact with the head part of the rivet; a caulking part that is configured to caulk the pair of members (210,220) to be fastened by the rivet by inserting a pair of shaft-like caulking members (51,52) into the first support body and the second support body and bringing the pair of caulking members (51,52) close to each other, in a state where the rivet is inserted into through holes formed in the pair of members (210,220) to be fastened at the riveting position; and a control unit that is configured to control the rivet suction part and the caulking part, wherein the control unit is configured to control the rivet suction part so as to move the rivet suction part, to which the head part of the rivet is suctioned, to the first support body to insert a shaft part of the rivet into the through holes formed at the riveting position, and to control the caulking part so as to bring the pair of caulking members (51,52) close to each other to caulk the pair of members (210,220) to be fastened by the rivet after the rivet suction part inserts the rivet into the through holes and retreats from the riveting position. a first support body that is formed in a rod shape having a through hole (llAa) extending along an axis and is configured to support one member of the pair of members (210,220) to be fastened at the riveting position; a second support body that is formed in a rod shape having a through hole extending along the axis and configured to support the other member of the pair of members (210,220) to be fastened at the riveting position; a rivet suction part that is formed in a cylindrical shape extending along the axis, and configured to suction a head part of the rivet with an interior thereof being in a negative-pressure state in a state where one end is brought into contact with the head part of the rivet; a caulking part that is configured to caulk the pair of members (210,220) to be fastened by the rivet by inserting a pair of shaft-like caulking members (51,52) into the first support body and the second support body and bringing the pair of caulking members (51,52) close to each other, in a state where the rivet is inserted into through holes formed in the pair of members (210,220) to be fastened at the riveting position; and a control unit that is configured to control the rivet suction part and the caulking part, wherein the control unit is configured to control the rivet suction part so as to move the rivet suction part, to which the head part of the rivet is suctioned, to the first support body to insert a shaft part of the rivet into the through holes formed at the riveting position, and to control the caulking part so as to bring the pair of caulking members (51,52) close to each other to caulk the pair of members (210,220) to be fastened by the rivet after the rivet suction part inserts the rivet into the through holes and retreats from the riveting position.