The invention discloses a magnetic anchor withdrawal device and anchor withdrawal equipment and application methods thereof. The magnetic anchor withdrawal device is applied to anchor withdrawal construction of a clamping piece anchorage device, the magnetic anchor withdrawal device comprises a shell, and the shell is a hollow cylinder with a closed rear end. An annular inner shoulder is arrangedat the front end, opposite to the rear end, of the shell, the inner diameter of the annular inner shoulder is equal to the outer diameter of the clamping piece anchorage device, a magnet is arranged in the shell, and a plurality of wire penetrating holes which correspond to the positions of cone holes in the clamping piece anchorage device and penetrate through the rear end of the shell in the axial direction are formed in the rear end of the shell. The magnetic anchor withdrawal device and the anchor withdrawal equipment and the application methods thereof have the following beneficial effects that the whole anchor withdrawal process is safe and reliable, and the dangerous operation which requires manual assistance to take out loose clamping pieces is avoided; particularly, the clamping piece in the cone hole in the center position of an anchor ring is difficult to take out manually because the clamping piece is blocked by steel strands around the clamping piece; and by using the magnetic anchor withdrawal device, the anchor withdrawal efficiency is greatly improved.