  A search for charged massive (quasi-) stable particles with the D0 detector
at the Tevatron collider based on 390 pb^{-1} of data is presented. The search
is performed in the frameworks of gauge-mediated supersymmetry breaking and the
minimal supersymmetric extentension of the standard model. The hypothetical
particles are assumed to be pair-produced in p-anti-p collisions giving a
signature of two reconstructed muon-like objects with high invariant mass and
time-of-flights indicative of heavy particles. Since no excess over background
is observed, cross-section limits for the pair-production of stable staus and
charginos are set. Mass limits of 140 GeV for a higgsino-like chargino and 174
GeV for a gaugino-like chargino are set.
