We have analyzed events with jets and large missing tranverse energy produced
in p anti-p collisions at s**(1/2) = 1.8 TeV.  The observed event rate is
consistent with Standard Model  predictions.  In a version of the supersymmetry
(SUSY) model with a massless photino and no cascade decays, we exclude at the
90% confidence level the existence of squarks and gluinos with masses less than
125 GeV/(c**2) and 141 GeV/(c**2) respectively.  The mass limits are lower with
other choices of the SUSY parameters.  An example is presented.