Power-skiving is one of the most effective methods for manufacturing high-accuracy gears, especially internal gears. However, the machining accuracy of the gear is fundamentally dependent on the design accuracy of the tool. Due to their particularity, the design of power-skiving tools is complex and computationally intensive, and requires particular attention to the problem of interference. Solving the interference problem involves two main considerations, namely avoiding interference between the clearance surface of the tool or the tool itself and the original designed gear surface and preventing a zero or negative clearance angle. Both interference situations are particularly prone to occur in internal gear cutting. Accordingly, the present study proposes a new power-skiving design and full-view angle analysis method for the design of high-accuracy and simple cylindrical power-skiving tools which avoid both interference scenarios. The results obtained for a typical illustrative example confirm that the proposed method provides an uncomplicated and robust approach for modeling the design features of power-skiving tools.