We propose a novel design method for a Fabry–Perot (FP) cavity antenna with an artificial magnetic conductor (AMC) side wall intended to provide a high gain in the tilted target direction. However, multiple reflections in the FPC caused by the AMC side wall make it extremely difficult to design the antenna. To solve this problem, we suggest a new design method based on a more generalized image theory, which transforms our antenna into a regular FPC problem that is more straightforward to analyze. The AMC unit cells of the AMC side wall and the ground plane are deliberately designed to have the antenna satisfy the FP resonance condition, which is required to produce a high gain. As a result, the antenna provides a relatively high gain of 12.6 dBi in the target direction of 30° and has reasonable aperture efficiency of 29%, which were validated experiments.