A start-up circuit for a bandgap reference circuit includes a sampling circuit for sampling current through a diode in one of first and second diode/resistor networks that respectively provide complementary PTAT and CTAT characteristics in the bandgap reference, and a current injection circuit to inject current to a PMOS bus of the bandgap reference if the sampled current is not higher than a pre-designated low value. By virtue of this operation, since current through the diode itself is sampled, the start-up circuit ensures that current through the sampled diode is higher than the pre-designated low value, thereby leading to rapid start-up of the bandgap reference to a stable operating point.