These following are the causes of burning and itching eyes. 1. Allergies, including seasonal allergies or hay fever 2. Bacterial infections 3. Chemical irritants (such as chlorine in a swimming pool or makeup) 4. Conjunctivitis or pink eye 5. Dry eyes 6. Irritants in the air (cigarette smoke or smog) You'd better have your eyes examined and make a definite diagnosis of your symptoms. Source:https://health.nytimes.com/health/guides/symptoms/eye-burning-itching-and-discharge/overview.html
Burning eyes and itching eyes may be caused by eye allergies or eye infection. Such as sunburn, dust, and chemical irritants will cause burning eyes and itching eyes. Or you may have some eye problems. You'd better go to your doctor to have your eyes checked and the doctor will find out the exact reason that cause the burning and itching eyes.