If the car is dead - like as if dead battery, common issue that was recalled was the ignition switch on Accords. Power cuts off from switch. Wiggle the ignition switch when car is running and see if turns off.
If the engine cranks over but won't start, could be a bad IACV, Distributor etc...
Have it diagnosed. Check the forums, lots of info on other issues but this is the most commnon.