Searches for GMSB and AMSB at LEP

We describe the latest results in the search for Gauge Mediated Supersymmetry Breaking (GMSB) and Anomaly Mediated Supersymmetry Breaking (AMSB) topologies at the LEP collider. The four collaborations, ALEPH, DELPHI, L3 and OPAL, have analysed data up to the highest centre-of-mass energy in search of many different signatures characteristic of these models. No significant excess has been observed with respect to the Standard Model predictions on any of them. Some of the searches are combined between the collaborations and limits are extracted on masses, cross sections and parameters in the models.