To provide the governor rope tension device of an elevator, easy in adjusting work without the dogleg-shaped tilt of a fitting body and a supporting body, even a fastening tool between the fitting body and a guide rail is loosened.

This device is provided with a tension pulley supporting body for rotatably supporting the spindle of the tension pulley 7, a first supporting arm 9 turnably supported by one end part of the tension pulley supporting body to be extended right and left, and a second supporting arm 10 turnably supported by the other end part of the tension pulley supporting body to be extended right and left and the respective one-ends of the first and second supporting arms 9 and 10 are turnably fitted to a weight 11, and also the other ends of first and second supporting arms 9 and 10 are turnably fitted to a fitting body 13 fixed to a guide rail 4.