This paper describes the simulation of a micromachined dome-shaped-diaphragm acoustic transducer built on a $1.5{mu}m$ thick silicon nitride diaphragm ($2,000{mu}m$ in radius, with a circular clamped boundary on a silicon substrate) with electrodes and piezoelectric ZnO film in a silicon substrate. Finite element analysis with ANSYS 5.6 has been performed to analyze the static and dynamic behaviors of the transducer under both pressure and voltage loadings.