Set aside your ginger peels until you are ready to use them.
Add your ginger peels to the compost pile, along with other "green," nitrogen-rich materials such as grass clippings, coffee grounds and vegetable scraps.
Make sure the pile has a source of carbon, such as dead leaves or twigs. These "brown" materials should make up a large bulk of the pile.
Add water to the pile if it seems to be drying out. A compost pile should be moist, but not sopping wet.
Turn the pile to add oxygen to your compost and aid the organisms that break down the waste into compost. If your pile is large and you are adding fresh materials weekly, the pile should be turned more frequently, as often as every other day.