A bandgap voltage reference circuit includes a current generation stage configured to generate a proportional to absolute temperature (PTAT) current and a complementary to absolute temperature (CTAT) current and to generate a reference current by combining the PTAT and CTAT currents. An output stage is coupled to the current generation stage and configured to combine the PTAT current and the CTAT current to generate a bandgap voltage reference. A curvature correction circuit is configured to generate a curvature correction current that mirrors the reference current generated from the PTAT and CTAT currents. The curvature correction current has a ratio relative to the reference current given by a current ratio parameter having value that is less than one, equal to one, or greater than one. In this way the value of the current ratio parameter can be varied to cancel a non-linear dependence on temperature of the bandgap voltage reference, thereby providing a curvature-compensated bandgap voltage reference.