My car keeps shutting off while driving

I have a 99 Honda accord EX 4 cylinder, I know I'm suppose to let the car warm up before driving so i usually let it warm up for a minute or 2 and start driving. But every once in a while when i slow down or stop, and then push the gas pedal to continue driving it shuts off. And sometimes when I slow down or stop, the car rumbles a bit and shuts off. So i have to put it on park in the middle of the street and start it up again. I'm not sure what's wrong with it. The battery is only a couple months old, the alternator is about 3 years old. I don't know what else it could be. Please help if you have any ideas about what is could be.

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