The King and the Cuddly by Marjorie Newman
Cuthbert the Strong is king of the forest, and a very bold and brave lion. But Cuthbert has a little secret and he's afraid that if the other animals find out about it, they might think he's not so strong or brave. One day, when disaster strikes, Cuthbert discovers that you can't be big and strong all of the time and that when you're not, your friends will still be there for you.