it would help to know the year and model of the Accord.if its a 1997-1999 there was a recall on the ignition switch that would cause exactly what you are describing to happen. Any Honda dealer can correct the problem by replacing the ignition switch. recalls are done at no charge.other than that, need more information--was the car cold or hot? how long were you driving before it happened? what speed were you going? wer you driving on flat ground, uphill, downhill, around turns, over bumps etc. the more infor you provide the better the chances of figuring out what happened.hope that helps