[1] We propose a new rapid procedure for determining the energy magnitude Me for shallow events from broadband teleseismic P-wave signals within the distance range 20°-98°. To accomplish this task, we compute spectral amplitude decay functions for different periods using numerical simulations based on the reference Earth model AK135Q. By means of these functions, we correct the spectra of the teleseismic recordings for the propagation path effects, and calculate the radiated seismic energy E S , and hence Me. We use cumulative P-wave windows for simulating a real-or near real-time procedure and test it for 61 shallow earthquakes. The results show that our approach is able to provide a rapid and reliable Me determination within 7 -15 minutes after the earthquake origin time, and is therefore suitable for implementation in rapid response systems. Citation: Di Giacomo, D., H. Grosser, S. Parolai, P.Bormann, and R. Wang (2008), Rapid determination of Me for strong to great shallow earthquakes, Geophys. Res. Lett., 35, L10308,