In this paper, the finite element method is used to simulate the laser generated interfacial wave on the transparent solid/solid interface in the thermoelastic region. Typical calculation is performed for the configuration of fused quartz bond to tungsten. Transient waveforms of laser-generated interfacial waves are presented. The results show that with the decrease of film thickness, the amplitude of interfacial waves becomes higher. And the surface waves all have appeared anomalous dispersion with films of different thickness. The simulations can provide theoretical guideline for the understanding of interfacial wave propagation.Keywords: finite element method,1aser ultrasonic, transparent solid/solid interface, interfacial wave.