Ultra-high energy LSP

We argue that the lightest supersymmetric particles (LSP) can be produced with extremely high energies $E\gsim 10^{10}$ GeV in the Universe at the present epoch. Their most probable sources are decaying superheavy particles produced by topological defects or as relic Big Bang particle. We discuss the mechanisms of production of LSP at ultra-high energies (UHE) and the interaction of the UHE LSP with matter. The most attention is given to the neutralino as LSP, although the gluino is also considered as a phenomenological possibility.