High-frequency strong-motion data of two recent major earthquakes of the Garhwal Himalayan region of India have been analyzed to determine the Qβ ( f ) for this region. Data from a local array of 24 stations, two main shocks, and several aftershocks were used to determine Qβ ( f ) and source parameters. An estimate of root mean square (rms) error is given. The data set in the present work includes the Uttarkashi earthquake of 20 October 1991 ( M s 7.0) and the Chamoli earthquake of 28 March 1999 ( M s 6.6) and its aftershocks. The source region of these earthquakes falls in the central seismic gap region of Himalayan frontal arc. We find the frequency-dependent Q -relationship for this region to be Qβ ( f ) = 112 f 0.97. The validity of the obtained Qβ ( f ) relationship is checked by comparing the source spectra at various stations with the theoretical spectra and found to be consistent. Low value of coefficient ( 0.8) in the Qβ ( f ) relationship suggest that the region is seismically and tectonically active, characterized by a large number of heterogeneities. The present inversion of strong-motion data gives the corner frequencies for the Uttarkashi and the Chamoli earthquake as 0.09 and 0.20 Hz, respectively, which correspond to the stress-drop values of 31 bars and 98 bars, respectively.