The bandgap reference circuit is widely used in analog, digital, and various other circuits. However, achieving low noise and power consumption presents challenges. Process variations can cause fluctuations in output voltage. This paper employs resistance trim to correct process-related errors, ensuring precise output voltage. VBE linearization compensation minimizes temperature drift. Simulation results show temperature drift below 10 ppm/°C within -45°C to 125°C. For the operational amplifier, a folded cascode current mirror and chopper structure achieve high gain and low power consumption, which eliminates low-frequency noise. The amplifier draws around 7 uA at 1.8 V, with a gain of about 84 dB, a Gain-Bandwidth Product of 229 kHz, and an output voltage noise of 257.04 nV/√Hz at 10 Hz. The entire circuit operates at 1.8 V, consuming 20.26 uA, with an output voltage noise of 5.38 uV/√Hz at 10 Hz.