Currently, the Moon has dispersed crustal magnetic anomalies instead of a global magnetic field like the Earth. The magnetization of the lunar crust has been studied for many years using magnetometer data obtained on the lunar surface, orbiting spacecraft, and lunar samples returned during the Apollo missions. Recent missions with polar orbits, such as Lunar Prospector and Kaguya, have expanded these measurements globally. Despite knowing that the lunar crust is magnetized since the Apollo era, we still lack a complete understanding of how crustal magnetism was generated. Additionally, due to the absence of a global magnetic field and atmosphere, solar wind particles directly impact the lunar surface, leading to a different solar wind interaction with the Moon compared to Earth. The wave activities generated by solar wind interaction with the Moon have been studied for many years. However, we still do not completely understand how and where they are generated. In this talk, I will present the magnetic anomalies on the Moon and the source model of lunar magnetic anomaly. I will also present ultra-low frequency (ULF) waves generated by solar wind interaction with the Moon and the generation mechanism of the observed lunar waves.