The velocity structure in the shallow ground structure was evaluated by observing microtremors of 1-10Hz in the Morioka City area. Plural wave sections free of vehicle noises or the like were selected out of the collected microtremor records, and the Fourier spectrum and coherence were calculated. Records sufficiently supporting the correlation between seismographs were chosen for the analysis. The phase velocity was calculated for each observation spot from plural array records by use of the F-K spectrum. The underground velocity structure was estimated by the inversion process using the matrix method. In this method, an early model was built on the basis of the observed phase velocity and the optimum underground velocity structure was determined by alternately performing two inversion processes: one for the case wherein the S-wave velocity is the sole parameter and the other for the case wherein the layer thickness is the sole parameter. As the result, a shallow underground velocity structure, which has good agreement with the available boring data in the Morioka City area, was successfully estimated, verifying the validity of this method. 4 refs., 7 figs.