Generalized monopulse angle measurement technique is widely used in target angle estimation of digital multi-channel planar array active phased array in interference environment because of its simplicity and small amount of calculation. Due to the non-uniform, asymmetric and anisotropic characteristics of the conformal array, the conventional generalized monopulse angle measurement technique for planar array cannot be directly applied. As to this problem, this work proposes a generalized monopulse angle measurement method for conformal arrays. Firstly, based on the anisotropic element pattern model of conformal array, the subarray echo model of conformal array is established. Secondly, the conventional generalized monopulse angle measurement technique of planar array is modified for the conformal arrays, and the direct solution formulas of target azimuth and elevation angles are derived. Finally, the angle estimation accuracy of the proposed method is analyzed theoretically. The simulation results show that compared with the conventional generalized monopulse angle measurement method, the proposed method greatly improves the target angle estimation accuracy of the conformal array, and is consistent with the theoretical estimation accuracy. The method proposed in this work can effectively solve the problem of generalized monopulse angle measurement of conformal array in interference environment.