The elastic properties are important for understanding the psychological dysfunctions in the case of most biological tissues. Surface wave elastography is a potential technique for investigating the variations in the biomechanical properties of tissues. In the present work, we have demonstrated a proof-of-concept study on homogeneous tissue-mimicking phantom and inclusion-based phantoms for tracing surface wave propagation using holographic imaging. The surface wave is induced by continuous excitation of the electromechanical actuator, and an ultrafast camera is used to capture the raw images. The phase map reconstruction is obtained by a phase-shifting algorithm, and the results obtained from the present approach reflect the feasibility and practicality of accessing the biomechanical properties of tissues in ex vivo and in vivo conditions.