Abstract: A fixing device for a tensioning member of a prestressed concrete may unimly act holding force for the tensioning member on the overall peripheral surface of the tensioning member mating with the wedge. The device includes a stationary grip through which the tensioning member extends, a wedge press fitted to the grip with holding the tensioning member for fixing the tensioning member relative to the grip under a given tension, and a buffer member disposed between the tensioning member and the wedge, the buffer member having both elasticity and plasticity.