  Recent results from searches for physics beyond the Standard Model (SM) in
electron/positron-proton collisions at HERA at center-of-mass energies of 300
and 320 GeV are presented. They were performed on a data sample collected in
the period 1994-2004 by the H1 and ZEUS collaborations. The data have been
analysed searching for leptoquarks, light gravitinos in R-parity violating
supersymmetric models and magnetic monopoles. Results of a general search for
new phenomena at high transverse momentum and of a dedicated search for events
with isolated leptons and missing transverse momentum are also reported.
