1. Be patient with them. You may not understand their fear and it can seem ridiculous but to them the fear is very very real. Don't push them to hard to do something they just aren't ready for. Do things little by little taking small steps.
2. Find out how the fear started. Talk to them about what caused them to be afraid. What do they think is the worst thing that can happen? That can help you know how to approach the situation.
3. Read about the fear. If the fear is bugs. Look up a book about bugs and check it out at the library. If they are afraid of failing find a cute story that goes along with that and how to deal with making mistakes. The more knowledge someone has about something generally the less scared of it you will be because you understand it more.
3. Have them write about their fear in a journal. If they are to young to write them have them draw a picture of it and how it makes them feel or dictate to you what they feel and you can write it down for them.
4. Slowly introduce them to the real thing. If they are scared of dogs get them a dog stuffed animal that they can learn to love. Then go to someones house that has a dog and watch it through the window in the backyard. Then introduce them to a small calm dog in a comfortable environment. Go at their pace. Never force them into a situation that will only continue the fear.
Stress Free Kids