Tips on cooking hard boiled eggs

Make sure that the water you use is not warm or hot, cover the eggs at least an inch above with the water in the saucepan or pot. Place the pot on medium high, when it starts to boil, turn it off but leave the pot for 10-15 minutes with its cover on.

After the time has elapsed, make sure that you have ice water in a bowl, transfer the eggs into the ice water. Then you should be able to peel the eggs with no problem because the ice water will expand the egg shell, making it easier for you to peel the shell off the egg.This should work - I boil eggs all the time because my toddler likes it.

(From Yahoo Answers)