We present the results of a model-independent analysis, which systematically scans the data taken by CMS for deviations from the Standard Model (SM) predictions. Due to the minimal theoretical bias, this approach is sensitive to a variety of models for new physics. Events with at least one electron or muon are classified according to their content of reconstructed objects (muons, electrons, photons, jets and missing transverse energy). A broad scan of three kinematic distributions in those classes is performed by identifying deviations from SM expectations, accounting for systematic uncertainties. In this particular search, no significant discrepancies have been observed in data taken by CMS in 2010 and corresponding to an integrated luminosity of 36.1 pb^-1.