We report on the first results from the CDF experiment on search
for physics beyond the Standard Model using data from the upgraded TeVatron
collider running p anti-p collisions at s**(1/2) = 1960 GeV.  These first
results, although obtained with a total integrated luminosity lower than the
total integrated luminosity collected during Run I, are already competitive
if not better, due to the increase in the center of mass energy and the
improved detector capability.