This paper presents an analytical model of piezoelectric vibration energy harvester consists of shape memory alloy (SMA) plate which can tune the resonant frequency. As the energy harvester should be tuned to excitation frequency to drive the maximum power, the temperature of SMA is varied to tune the natural frequency of the composite beam. In addition to SMA, it also consists of the piezoelectric layer, substructure layer, and tip mass. Using Euler–Bernoulli beam assumption, equations for the frequency response of voltage, current, and power outputs with temperature are obtained. From the parametric study, it is observed that the tuning of natural frequency is 25–26%, for the first three modes of vibration in short- and open-circuit conditions.