The correct spelling for this breed of dog is Shih Tzu. They are very prone to runny eyes. I wipe my dogs eyes every morning with a warm, moist wash rag. I feed her a very high quality dog food, nothing from Wal Mart or the grocery store. Forget Purina, it is a horrible dog food and forget Science Diet that all the vets feed, horrible dog food. When I switched my Shih Tzu from Science Diet to Solid Gold, her runny eyes stopped almost immediately, although I still wash every morning. Good luck with your little dog, Shih Tzus are great little dogs!