This study proposes the antenna circuit design for the transmitting wireless power, the development of the RF non-contact type Dosimeter. That is, the study designed the optimization and numerical analysis of the antenna circuit for the antenna design of 13.56MHz over the frequency bands for transmitting wireless power. We studied the needed items in the existing RF type Dosimeter with battery to implement the wireless power non-contact Dosimeter within the battery. We compared to the real measurement value as calculating the value of the inductance and capacitance through the numerical analysis for the antenna LC resonance using the theory of the electromagnetic induction method. This method to drive low power is designed to simplify the circuit and to improve the efficiency of the rectifier. We convince our research contributes not only to understand the simplified circuit and miniaturization, but also to help the design and application technology of the wireless power transmit system which is received power supply with wireless.