Put a couple of snap type mouse traps in the can on top if the trash. They won't hut him but the positive reinforcement will break him of this habit. My vet raises shorthairs and he has broken several of his dogs with this method. I used it on a beagle with great results. Doesn't hurt a thing when it comes to hunting.

Beekeeper beat me to it. Either that or pop a few balloons around the dog making him scared of balloons then put some balloons in the trash.

That works for me keeping my dogs off the furniture.

I agree with the mousetrap answer, though that isn't positive reinforcement, it's technially punishment. Positive reinforcement is rewarding correct behavior. Otherwise sealing the garbage is about the only way to go. The way a dog's mind works is such that unless you catch them in the act (or use something to frighten them during it), it's too late to correct the behavior.

cool, mines named sasha.She is great dog very sweet tempered and she lives to hunt duck.

I had a yellow lab that did the same thing. We replaced all our trash cans in the house, including bathrooms, with the type of can with a foot pedal to open the lid. After she realized she couldn't get in them anymore she lost interest.

But there's more...
It suggests that he's found something good to eat in there before. Unquestionably, It means that you are wasting food. No need in continuing with this.