This paper explores the applicability of wavelet transform for the analysis of ground motion accelerations recorded on rock at Yerba Buena Island and on dredged sandfill at nearby Treasure Island about 2 km away during the 1989 Loma Prieta Earthquake in California. An interpretation of the results from this analysis is presented and discussed. The major important feature of this data set is that liquefaction occurred at the Treasure Island site during the earthquake. The Daubechies 20-coefficient and Haar Wavelet Transforms are utilized in this study. Results of the application of the wavelet transforms can be summarized as follows: most of the energy of the earthquake at the Treasure Island site is in the frequency range 0.58 – 1.77 Hz and arrives in the time interval between 11 and 15 seconds. For the Yerba Buena Island site, most of the energy lies within the frequency range 1.15 – 3.53 Hz and arrives between 8 to 13 seconds. The analysis indicates that there are some large peaks at the highest resolution in the wavelet transforms at the Treasure Island site which can be attributed to a progressive change in the stiffness characteristics of soil.