The invention relates to a honing cutter device with the function of machining a noncircular special-shaped hole. The honing cutter device comprises a cutter main body, wedge-shaped cutter tensioning components installed on the inner wall of the cutter main body, main oilstone bases connected with the wedge-shaped cutter tensioning components and a compensation mechanism composed of compensation oilstone bases, actuator sets, supporting rods and cutter retracting spring rings, wherein the tails of the wedge-shaped cutter tensioning components are connected with an axial feeding component. Compensation oilstones are installed on the compensation oilstone bases. The compensation oilstone bases and the supporting rods are connected with the actuator sets. The cutter retracting spring rings are pressed at the two ends of the compensation oilstone bases, the supporting rods and the main oilstone bases. Compared with the prior art, the honing cutter device has the function for precisely machining special-shaped inner holes, and precise honing machining of the complex special-shaped inner holes can be conducted through the compensation mechanism for the sections of the inner holes.