Objective According to the acoustic parameters of human body, we explore the influence of the propagation of sound signal in inhomogeneous media at magnetic acoustic coupling imaging. Methods We build a simulation model with the reference of acoustic properties in human tissues. And electromagnetic simulation is made by using finite element analysis tools. Then, magnetic acoustic signal propagation is solved in simulation models with the FDTD method and sound pressure signals are collected in free space. Finally, we compare the acoustic signal propagation in acoustic homogeneous model and acoustic inhomogeneous model. Results The two acoustic models have the same distribution of acoustic source. However, the number of peaks in the collected signal for acoustic inhomogeneous model is larger than that of acoustic source boundaries, and the time interval between the peaks of acoustic pressure does not match the distance between the acoustic source boundaries. Conclusions This paper reveals the impact of acoustic inhomogeneity on magnetoacoustic tomography with magnetic induction, and lays a foundation for the study of reconstruction algorithm at acoustic inhomogeneous media.