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The currently accepted theory for this is that he didn't. Although there is some debate as to what his exact problem was, it doesn't appear to have been Syphilis.
The theory that Henry suffered from syphilis has been dismissed by most historians. A more recent theory suggests that Henry's medical symptoms are characteristic of untreated Type II diabetes. Alternatively, his wives' pattern of pregnancies and his mental deterioration have led some to suggest that the king may have been Kell positive and suffered from McLeod syndrome. According to another study, Henry VIII's history and body morphology was probably the result of traumatic brain injury after his 1536 jousting accident, which in turn led to a neuroendocrine cause of his obesity. This analysis identifies growth hormone deficiency (GHD) as the source for his increased adiposity but also significant behavioural changes noted in his later years, including his multiple marriages.
Upvote:18
This remains contentious and unresolved however.