In this paper, an original method is proposed to implement temperature compensation for a bandgap reference (BGR) circuit without any auxiliary circuits. By employing resistor combinations (formed by different type of resistors) with specified temperature coefficients (TC), the temperature coefficient of a previous reported bandgap reference is improved from 22.11 ppm/°C to 3.499 ppm/°C (−25°C-85°C). In order to accomplish the improvement, a useful model is also proposed to help understand the relationship among the TCs of resistors' combinations and BGR.