The method of nonlinear waveform-fitting was extended to include changes in the depth of the Moho. Studies performed on synthetic data at 10¿ epicentral distance showed that it is theoretically possible to determine Moho-depth with an accuracy of less than a kilometer if the frequency range extends to 0.12 Hz. We applied this method on several broadband records from two earthquakes in Western United States to invert for crustal thickness. Waveform-fitting of Rayleigh waves for epicentral distances between 3¿ and 10¿ for individual paths in this region show that the average Moho-depth can be resolved to 1--2 km. It was possible to obtain good waveform fits for frequencies between 0.02--0.08 Hz. We conclude that broadband seismic data from local events allow us to determine Moho-depth independently from crustal shear-wave velocity. ¿ American Geophysical Union 1995