Status and results of the NA64 experiment at the CERN SPS*

The NA64 experiment is a fixed-target experiment at the CERN Super Proton Synchrotron (SPS) combining active beam dump and missing energy-momentum techniques to search for rare events with 100-160 GeV/c momentum electron, positron, and muon beams as well as using hadron beams. The NA64e (electron-beam) experiment has been running since 2016 and now starts to probe Light Thermal Dark Matter models. Thermal dark matter models with particle masses below the electroweak scale could explain the observed relic dark matter density. The NA64mu (muon-beam) experiment looks for hidden sector particles produced in the bremsstrahlung reaction and coupled to the second and third lepton generations. The existence of such new particles could explain the (g-2) muon anomaly. NA64 is capable of probing the existence of the X17 boson recently observed in measurements with 8Be, and also has sensitivity to search for signatures of charged lepton flavor-violating processes. I give a brief presentation of the program of the NA64 experiment to explore dark sectors potentially weakly coupling to Standard Model particles, describing the method of the search, the setup, and the status and plans of the experiment.