We have a deep bite when the upper front teeth overlap more than 1/3 of the lower front teeth when the back teeth are clenched together. This problem may be due to abnormal development of the jaws, misalignment of the teeth or a combination of factors. A deep bite caused by the jaws can be corrected while the patient is still growing – by moving the teeth, we can generally guide jaw growth in the right direction. In patients who have finished growing, the jaw problem can be corrected surgically, or the teeth can be moved so that they mask the problem. A deep bite at the level of the teeth can be corrected with braces. It isn't one of the easiest problems to treat, but it is completely solvable.
We have an open bite when, with the back teeth clenched together, one or more front teeth don't make contact (they seem to hang without touching). Like a deep bite, an open bite can be skeletal or dental. A skeletal problem most often needs an additional device to correct it – for example, a facebow (headgear) or mini-implants for anchorage, or sometimes surgery in adults. A dental open bite can also be treated with an extraoral appliance, mini-implants or intermaxillary elastics, worn together with braces.
This answer is for general information. Your own case needs an examination by an orthodontist.