Voltage reference plays a crucial role in influencing the performance and accuracy of analog systems. General curvature compensation techniques focus solely on eliminating second-order temperature-related terms， making it hard to meet the high precision requirements of certain circuits. The existing circuit has a high-temperature coefficient issue that requires urgent compensation for higher-order terms. This paper proposes a novel high-order curvature compensation method， successfully implementing a low-temperature coefficient voltage reference circuit by leveraging the subthreshold characteristics of CMOS transistors. Initially， two currents with different temperature coefficients flow through the same subthreshold CMOS transistor， generating two gate-source voltages with unique temperature characteristics. Subsequently， the subtraction of these voltages produces a logarithmic voltage， and the logarithmic voltage is weighted and superimposed with the first-order compensation voltage to realize the high-order compensation. To enhance the power supply rejection ratio （PSRR）， the circuit employs a high-gain negative feedback loop， eliminating the need for an amplifier in traditional voltage reference circuits and further reducing power consumption. This design is based on the 0.18 μm CMOS process and is implemented using Cadence software for circuit design， layout， and simulation verification. Simulation results indicate that the circuit operates within a normal voltage range of 1.6 V~3 V， with a reference voltage output of 295 mV at 2 V operating voltage. The temperature coefficient within the range of -45 ℃ to 125 ℃ is 1.26 ppm/℃， and the PSRR is 51.1 dB@1 kHz， with a maximum static current of 8.9 μA. These results show that the voltage reference circuit can meet the needs of high-precision integrated circuit systems.