Rep Power: 0

I have a 2006 Honda Civic and my battery keeps draining and it turns off. I have got a new battery new alternator and new fuse box it has happened before but fixed when I replaced the parts. At idle the batter light comes one but when I rev it the battery light comes off.

 
Rep Power: 367

you have a parasitic drain somewhere, pinpoint it. if you are not versed on it, get someone that is. Like a shop

 
Rep Power: 224

Battery light on when at idle points to an alternator issue.

 
Rep Power: 99

This. You may have replaced the alternator, but was it a remanufactured one from the auto parts store? There's a good chance that this one is bad and you need to try another one. This is what happened to me about a year ago.

You can do a simple check for this by measuring the battery voltage while the engine is idling and revving up. If the voltage is fluctuating heavily, then the alternator is most likely defective.

 
Rep Power: 367

or ELD