Multi-Lepton Events at HERA (H1+ZEUS) A measurement of multi-lepton events at high transverse momenta is performed on a data sample collected in $e^\pm p$ collisions with the H1 and ZEUS detectors at HERA during the period 1994--2007. This data sample corresponds to an integrated luminosity of 0.94 fb$^{-1}$. Yields of di-electron and tri-electron events are measured and in general a good agreement is found with the Standard Model (SM) predictions. Combining the two channels, six events are observed with a scalar sum of electron transverse momenta, $\sum P_T $, greater than 100 GeV, compared to a SM expectation of 3.0 $\pm$ 0.3. Five of those events are observed in $e^{+}p$ collisions where the SM expectation is of 1.8 $\pm$ 0.2, whereas one event is observed in $e^{-}p$ data for a SM prediction of 1.2 $\pm$ 0.1. The common analysis is extended to final states with electrons and muons or multi-muons, where H1 collaboration previously measured spectacular events at large transverse momentum.