Wireless power transfer (WPT) is a concept for transferring electrical power from a sending coil to a receiving coil without a wire. Researchers have previously studied WPT using its implementation in simulation modeling, but it supports little in terms of the mathematics of the formulation, especially in terms of the distance between the sending and receiving coils. This paper presents simulation modeling of the WPT System using MATLAB SIMULINK based on mathematical formulations relating to the inductance of the sending and receiving coils, coil turn number and mutual inductance as a representative of the distance between the sending and receiving coils. The simulation results show that the 5 kHz pulse wave generated by the pulse generator drives the MOSFET gate terminal which converts DC to 5 kHz AC voltage at the sending coil to half the bridge inverter circuit. The sending coil produces an AC rms voltage of 837.92 V for a distance of 10 cm and also an AC voltage is induced in the receiving coil with its rms voltage, current and power are 8.22 V, 14.17 A.