There are a number of organic solutions to your problem. One includes crushing coffee beans and spreading them onto your eye-bags. Another, and more popular solution is to chill two thin slices of cucumbers and apply them onto your closed eyes for 30 minutes.
Dr. Oz just stated on his tv show last week that many people who have bags under their eyes have allergies. So he recommended taking an over the counter antihistamine such as benadryl before going to bed at night. He also recommended wet tea bags to be placed gently over the closed eye.