It is shown that the new data of the DAMA/NaI detector, combined with
recent calculations of nuclear structure functions, provide the most s
tringent upper bounds on the WIMP-nucleon cross-section both for spin-
dependent and for scalar interactions, It is proved that, for the firs
t time, data from an experiment of direct search for WIMPs allow the e
xploration of a region of the supersymmetric parameter space not yet f
ully investigated at accelerators. (C) 1997 Elsevier Science B.V.