Detection of stresses in structures is widely required. Acoustic stress measurement is a Non-Destructive Evaluation (NDE) method. In this paper wave propagation in a stressed plate is studied, using numerical simulations. We used ABAQUS, a commercial finite element software, to model the plate. Many parameters affect the wave propagation as plate thickness, plate length, and frequency of the wave signal are studied. When compressive and tensile loads are applied to a plate, the wave propagation is investigated. It was concluded that the effect of stress on the wave propagation decreases with increasing plate length and also with increasing plate thickness, wherewith increasing frequency the effect of stress in wave propagation is clearer.