Normally caused by faulty dimmer switch.
It might be the high/low beam switch. Had to replace one on my '96 when I had only low beams.
Does the car have fog lights? I have a 2003 Sunfire that the high beams would not work on. This was caused by a short in the fog light wiring. I had the fog lights rewired separate from the harness (about $100) and the problem was fixed.
The problem is probably in the dimmer switch but it needs to be checked out.
the problem is the switches themselves, just poorly designed.
Not uncommon in that model; apparently the wiring harness is weak at the low-beam wire; read more in the forum below. gminsidenews.com/forums/f53/1997-pontiac-sunfire-headlights-40665/
i had this same problem. it was faulty wiring underneath the battery.
Hmmm.... it seems unlikely that both low beam elements would fail at the same time, but it's possible. Replacing the headlight lamps is cheap and easy and would be my first attempt at fixing the problem. Is your DRL indicator on the dash flashing? They'll do that when the lamp(s) burn out. Since the DRL's AND the low beams don't work, I wouldn't suspect the headlight switch, however this is not beyond the realm of reason.
the low beam part of the bulb could be bad.
Pulling the turn signal switch toward you should switch the lights to the low beams. If that doesn't work, you may have to replace the switch, which means replacing the entire turn signal stalk.
Seperate circuits I believe.
First check the fuses then change the bulbs it is posable for both to go out