Positive signatures in direct searches of WIMP dark matter are so far derived from Annual Modulation (AM) studies. We present the analysis and results of AM search  with data from a 1-kg p-type point-contact germanium detector of the CDEX experiment at the China Jinping Underground Laboratory . The allowed regions due to DAMA/LIBRA and CoGeNT AM-data are probed and excluded. These results represent the most stringent bounds at WIMP-mass less than 6 GeV among WIMP-AM measurements. New limits on Light DM with Migdal effects  and on dark photons  will also be presented.
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