The existence of dark matter (DM) in the Universe has been confirmed by astrophysical and cosmological observations. However, the nature of DM is one of the most pressing puzzles of modern physics. Weakly Interacting Massive Particle (WIMP) as a compelling dark matter candidate has been searched for in various (in)direct detections and collider experiments, most of which aim for DM at the GeV mass scale and above. Recently, the non-observation of WIMPs in those experiments has led to significant efforts focussing on the sub-GeV DM. In this talk, I will firstly review the current status of SUSY neutralino DM and then present our recent study of sub-GeV Cosmic ray upscattered DM in direct detections.