Eyes that extend, or bulge out of their normal location, could be an symptom of a serious medical problem. Exophthalmos and Proptosis are the medical terms used to describe bulging eyes.
In most cases, the white section of the eye should not be noticeable over the iris. If the white of your eyes shows between your upper eyelid and the iris, this is often considered irregular bulging of the eye. Treatment will be based on the diagnosis. However, some persons have the genetic future of bulging eyes, in which the white part of the eye is more bigger and visible.
Bulging in only one eye of a child is an especially serious sign. Seek medical care immediately.