The high energy program of the HERA collider ended in March 2007. In total the H1 and ZEUS experiments collected an integrated luminosity of about 1 fb$^{-1}$. Recent results of model independent searches for new physics from both experiments are presented. Specifically, studies of the events with an isolated lepton and missing transverse momentum and multi-lepton topologies, where H1 and ZEUS data are combined, and a general signature based search are discussed.
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