How much mileage is on your car? If you're having problems like that, it may well be that your wires and/or plugs are due for replacement (if your car has a distributor, odds are that the cap is cracked). Check to make sure that the plugs wells are not filled with water. When the engine is running, listen for electrical crackling sounds under the hood and look at the wires, plugs and coil packs (or distributor) for arcing.
What you are experiencing is not normal and it indicates an electrical problem that needs to be addressed.