DAMA is searching for particle Dark Matter deep underground in the Gran Sasso National Laboratory of the I.N.F.N. by using several kinds of scintillators, acting as target-detector systems. Results on several other kinds of rare event searches are also achieved. In particular, here recent results obtained by means of the highly radiopure similar or equal to 100 kg NaI(T1) set-up in the investigation of the WIMP annual modulation signature are summarized. They refer to four annual cycles (57986.0 kgxday). The data collection for a 5-th annual cycle has been completed in July 2000. New electronics and data acquisition system have been then installed and data taking will start again in fall 2000. Moreover, the realization of an about 250 kg Na...