"Jealousy" is a bad feeling, whereas "envy" is more neutral. Jealousy is more like a sin, whereas envy is simply wishing for something that someone else has.
The jealous person can let his envy capture his soul. Jealousy can be his downfall. But envy is more normal. I can envy Jack for having a wonderful girlfriend but, hey, I like the guy and I'm happy for him.
In common usage, the distinction often is blurred.