The invention relates to an anchor packer with a hydraulic setting function and a rotation unsetting function, and belongs to the field of borehole operation tools for oil gas wells. The anchor packer comprises a center pipe, an upper connector, a lower connector, a pair of slips, a piston sleeve and a release sleeve. The upper connector is arranged at one end of the center pipe, and a C-shaped ring is arranged at the other end of the center pipe. An inner sleeve is arranged on the portion, located on one side of the connector, of the center pipe. An upper slips cone and a lower slips cone are clamped to the inner sleeve through a cone release shaft and key blocks A. The slips are assembled between the upper slips cone and the lower slips cone. The anchor packer is compact in structure, setting and anchoring are achieved, and the unsetting mechanism is exquisite in design; setting is safe, it can be avoided that setting is conducted in advance, and step-by-step unsetting can be easily completed when multiple packers are used at the same time; and the problem that multi-stage unsetting is difficult in the prior art is solved. The anchor packer can bear the pressure from the position above the anchor packer and the pressure below the anchor packer, and is particularly suitable for water (gas) injection, interlayer isolation, split injection and split explosion, multilayer testing and stimulation measure operation in plumb shafts and slightly-deviated wells.