The digital seismic data recorded by a telemetered seismic array have been used to compute seismic moment-magnitude relationship in the Garhwal Himalaya region. The seismic moments for 18 shallow focus earthquakes are computed using Brune’s model (Brune, 1970) of earthquake source. The seismic moments compu:ed range from 7.0 х 1018 dyne-cm to 6.23 x 1021 dyne-cm. The earthquakes are observed to have very low stress drops; less than 1 bar in case of seven events and between 1 bar and 10 bars for another seven events. The maximum stress drop is found to be 38 bars for an earthquake of magnitude 4.2 with focal depth 15 km. The empirical relationship between seismic moment and local magnitude is computed using regression anaiysis. This relationship for Garhwal Himalaya region is obtained as log( M,) = (0.89 ±0.43) ML + (18.18±0.21). The shallow focus events having low stress drops in this region point to the low strength of the crust to withstand the accumulated stresses.