The project of a micro-TPC matrix of chambers of He3 for direct detection ofnon-baryonic dark matter is outlined. The privileged properties of He3 arehighlighted. The double detection (ionization - projection of tracks) willassure the electron-recoil discrimination. The complementarity of MIMAC-He3 forsupersymmetric dark matter search with respect to other experiments isillustrated. The modular character of the detector allows to have differentgases to get A-dependence. The pressure degreee of freedom gives thepossibility to work at high and low pressure. The low pressure regime gives thepossibility to get the directionality of the tracks. The first measurements ofionization at very few keVs for He3 in He4 gas are described.
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