We present the results of the searches for new phenomena in ppbar
Collisions at sqrt s = 1.8 TeV with the CDF detector using the full data
sample of 110 pb^-1 collected between 1992 and 1995.  We have searched for new
physics in events with two photons, testing some of the hypotheses proposed to
explain the appearance of the CDF ee gamma gamma missing E_T event.  New
results on the search for a heavy neutral scalar object, charged Higgs bosons
(H^+/-) and the scalar top quark (tbar) are presented.  Finally we summarize
the CDF results on the search for third generation leptoquarks.