In this paper we have developed an analytical model for Ferro PZT Al 2 O 3 /AlGaN/AlN/GaN MOSHEMT involving the solution of Poisson and Schrödinger equations. This analytical model covers most of the operating regimes of the Ferro PZT MOSHEMT. The two-dimensional electron gas (2-DEG) sheet charge density (n s ), threshold voltage (V th ), drain current (I ds ), gate capacitance (C gs and C gd ), and unit gain cut-off frequency(f T ) model equations are generated and simulated with MATLAB tool. It is also observed that the insertion of the Ferro Pb(Zr, Ti)O 3 PZT (lead zirconium titanate) material can also improve the device performance. The proposed Ferro PZT MOSHEMT model accurately produces a higher drain current of 1.14A/mm , a high transconductance of 362S/mm, the gate-to-source capacitance of 50.99pF, the gate-to-drain capacitance of 38.25pF, and high cut-off frequency of 0.033THz for 20nm AlGaN barrier layer. The proposed model results show good agreement with the TCAD-Atlas simulation results and were satisfactory for the different AlGaN barrier layer thickness. The generated model and simulation results show the potential of using the Ferro PZT MOSHEMT for high-power and RF/Microwave applications.