Abstract: In this paper, an optical system with an angular resolution of 1″ for the solar extreme ultraviolet (EUV) imaging telescope is developed. A classical Cassegrain optical path structure in used in the system. The calculation results by the ZEMAX software show that the spot within the field of view of ±17′ is located in one pixel（13.5 μm×13.5 μm）range. An indirect method is used to test the angular resolution of the optical system. Firstly, a ZYGO interferometer is used to detect the wavefront aberration of the system. Then, the point spread function with a working band of 19.5 nm is calculated based on the wavefront aberration results on the exit pupil plane. It is shown that the energy ratio for the pixel enclosure circle is better than 80 percent in the field of view of ±17′ , which indicates that the angular resolution in the band of the optical system of 19.5 nm is better than 1″.