There is provided a hinge with torque setting function for connecting two objects by a hinge shaft adapted to be assembled with precision and to be tightened easily. In order to reduce the diameter of the curvature portion 42 of the holder 40 through the brake member 30 on the hinge shaft 20, there is attached by the screw the adjusting member 46 which can vertically move within the latch portions (vertical grooves) 42G of the curvature portion 42 individually from an angular movement of the curvature portion 42 when it is tightened. The screw 5 can be tightened by vertical movement thereof without being restrained by the angular movement of the curvature portion 42 and therefore, the tightening of the holder 40 can be carried out with high precision and effectiveness of operation.