This continuous fiber-reinforced material tensioning device is provided with: a pressing body 50 that presses a sleeve S toward a fixed structure K and has a hollow part 52 in which a wedge body W ismovable so as to freely reciprocate along a continuous fiber-reinforced material C; a tubular bracket 21 that is arranged on the side opposite to the sleeve S with respect to the pressing body 50 andhas a protruding part on an inner wall face thereof; a columnar rotation jig 30 that is disposed so as to freely reciprocate inside the bracket 21, engages with an end face of the wedge body W, has aspiral key way 33 engaging with a key 23, and applies a rotation force about an axis of the continuous fiber-reinforced material C; and a piston 40 that presses an end face of the rotation jig 30 toward the fixed structure K. Thus, even when the wedge body W to be used has an inner wall face to which an outer face of the continuous fiber-reinforced material C is transferred, and has an engaged part formed therein engaging with the outer face of the continuous fiber-reinforced material C, the wedge body W can be securely anchored to the fixed structure K by moving the wedge body W along the continuous fiber-reinforced material C.