Modern Kenmore gas dyers use an electric ignition system, rather than a standing pilot light, to ignite the gas and create heat. Dryers have a way of lasting for years though, so there are still many older Kenmore dryers out there using the standing pilot light system. One of the drawbacks to the old pilot light system is the need to relight the pilot every so often. The task is straightforward and can be done in minutes. All Kenmore dryers vary slightly in the method for igniting the pilot, so refer to your owner's manual for specific instructions.
Remove the lower access panel in the front of the dryer to reveal the gas control assembly.
Turn the gas control knob, located near the top of the assembly, to the "Off" position. Wait five minutes for any residual gas to clear out of the dryer. Turn the knob to the "On" position.
Press and hold down the lever next to the control knob. Light a match and hold it over the pilot light port, which is typically found on the side of the control assembly. After a few seconds, the pilot will ignite. Continue holding the lever for about 60 seconds after the pilot has been lit, then release it. The pilot will remain lit.
Replace the front access panel.