According to the 30.4 nm radiation properties of the earth’s plasmasphere, an earth’s plasmaspheric extreme ultraviolet imaging method based on the moon was researched for the first time. The technical parameters of the extreme ultraviolet imager used in the lunar surface were determined, and its field of view is 15°, angular resolution is 0.1° and the entrance pupil area is larger than 70 cm2 . By combining a single spherical multilayer mirror and a spherical microchannel plate photon counting imaging detector, the extrame ultraviolet imager was designed.The ray tracing of designed extreme ultraviolet imager with multilayer optics was also performed. Results show that the radii of the blur spots are 0.210, 0.204, 0.204, and 0.207 mm respectively at 0, 3, 5, and 7.5°, which are basically identical at different field of views. In woking on the lunar surface, the imager has a vision scope of 15.0 RE to cover the main body of the earth’s plasmasphere and a spatial resolution of 0.10 RE that can reveal the main details of the earth’s plasmasphere. It provides a high quality imaging method for the observation of earths plasmasphere.