There is increasing concern that depletion of the ozone layer may have important health consequences. Each $1\%$ decline in ozone concentration is expected to cause a $2\%$ increase in ultraviolet radiation this in turn has been suggested to lead to up to a $4-6\%$ increase in certain kinds of skin cancer. In Colorado state, malignant melanoma patients increased form 7.4 cases per 100,000 to 12.6 per 100,000 in the general population between 1979 and 1985. In Australia, 4,000 new melanomas are diagnosed each year and 800 people die every year from melanoma. Strong international controls CFCs production are necessary to lower the destruction of ozone in the stratosphere. Only then will the increase in ultraviolet radiation to the skin be halted and the incidence and mortality from melanomas be reduced.