You get watery eyes because your eyes are too dry. The dryness of your eyes may be related to environmental, health issues and medications you are taking. You can use preservative free drops several times a day before you see a doctor. If it can't treat your watery eyes, then you have to see an eye doctor as early as possible.
If your watery eyes are caused by allergies, you should go to see an allergy specialist. The specialist will check your eyes to find out what you are allergic to. Then he will apply treatments such as immunotherapy to deal with your watery eyes. Immunotherapy can help your body build up a natural resistance by exposing you to small amounts of the allergen.