The principle of a piezoelectric transducer is to transfer the high frequency of electrical energy to mechanical energy. Because the output displacement of piezoelectric transducer is too small, the need to amplify the displacement of the tool is based on the design of horn shape. This paper is first to conduct experiment to measure the vibration frequency and amplitude of the piezoelectric transducer. According to the experiment result, the resonant frequency of the horn is defined thereafter. Theoretical calculation and ANSYS simulation are conducted for the geometrical shape of the piezoelectric actuated horn. Result for modal frequency simulation error is 0.6%. The amplification factor for horn shape harmonics error is 0.8%. Both of the modal frequency and harmonics analysis via the ANSYS simulation reach the error less than 1%. Simulation results can be used for knowing the requirement of tool displacement of the horn in the future application.