The computer-generated hologram (CGH) technique is a technique that simulates the recording of holography. Although the CGH technique has a lot of advantages, it also has some disadvantages; one of them is the long calculation time. Much research on the human eye has established that humans see 135° vertically and 160° horizontally, but can see fine detail within an only 5° central circle. Foveated rendering uses this characteristic of the human eye to reduce image resolution in the peripheral area and achieve a high calculation speed. In this paper, a new method for CGH fast calculation with foveated rendering using an angle-changeable ray-tracing method is introduced. The experiments demonstrate the effectiveness and high-speed calculation of this method.