In one embodiment, a soft start circuit includes a slew rate controller to limit inrush current to a voltage regulator during start up. The output voltage of the regulator may be compared to a previous sampled value to determine the slew rate of the output voltage. The slew rate of the output voltage may be controlled by adjusting the current limit of the regulator. The current limit of the regulator may be adjusted using digital circuits, such as a counter and a digital to analog converter, or analog circuits using a pulsed current source, for example. The slew rate may be controlled to exceed a target slew rate or to stay within a range of slew rate limits.