This paper presents radio frequency identification (RFID) tag antenna design for smart wearable devices that meets ISO/IEC 14443 international standards. Using transformer coupling technology to replace the common used direct-connection methods, it presents a novel design concept of a passive RFID tag antenna that uses a resonance- coupled transformer structure between the RFID tag antenna and chip. This method increases the tag transmission distance and its reliability. In addition, the coupling coefficient of loosely coupled transformers is lower than traditional transformers. After establishing the mathematical model of an equivalent mutual inductance, it will be added compensation capacitors to the coils on each the transformer for impedance matching. It will be completed the tag antenna circuit design by coordinating circuit quality factor adjustment with electromagnetic simulation software analysis. Finally, to verify the feasibility of the proposed methods, we compare the mathematical calculation analysis and simulations. The result will be useful to incorporate the design of small size of smart wearable devices.