In recent years, the dark matter still remains a mysterious in astrophysics and cosmology. So far, none of the candidate of dark matter is searched, even based on the state-of-art detection scenarios and facilities. With this in mind, this study comprehensively discusses dark matter's historical origins, research significance, and an overview of recent developments in this field. To be specific, the focus is placed on two candidate particles for dark matter: axions and Weakly Interacting Massive Particles (WIMPs). The ADMX project is discussed in detail concerning axions, emphasizing the utilization of susceptible detectors and instruments for large-scale searches across various mass ranges. Additionally, experiments such as XENON and LZ are examined to provide deeper insights into the existence of WIMPs. The article also addresses the limitations of current investigations and offers prospective directions for future research endeavors in dark matter. Overall, these results shed light on guiding further exploration of dark matter searching.