Production of supersymmetric particles in TeV scale polarized photon-proton collisions is discussed. Polarizations of both photon and proton beams are considered. Associated productions of squark-chargino and squark-gluino, and production of squark pairs have been examined. Although the cross sections for different initial beam polarizations do not differ much, the polarization asymmetry is sensitive to the sparticle mass. We conclude that the capacity of future linac-ring type TeV scale photon-proton colliders is quite promising in the search for SUSY particles.