The clamping piece anchor uses the wedge principle to anchor the strand, that is, wedge-shaped clamping piece wedges strand into the wedge-shaped taper hole of anchor plate, when using jack to tension the strand, after achieving the designed stress value, the jack is slowly released, the anchor of the clamping piece is retracted into the tapered hole of the anchor plate to form an anchor unit by strand, the stress of the steel strand passes the anchor plate to the building structure to form a permanent prestress.