Cancer Research UK says there has been a tripling in melanoma rates among 15- and 34-year-olds since the late 1970s and the rise is continuing.
The charity says sunbeds are partly to blame for the increase.
Using a sunbed before the age of 35 can increase your risk of melanoma by 75%, it warns.
Young women in particular need to take care - they are more than twice as likely to be diagnosed as young men.
The rate of young women aged between 15 and 34 in Britain being diagnosed with malignant melanoma now is eight per 100,000. This compared to about four men per 100,000 for the same age group.
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