Branson was cycling with his two children on the British Virgin Islands when he hit a hump in the road.
In a post on the Virgin website, the 66-year-old entrepreneur said, "I was heading down a hill towards Leverick Bay when it suddenly got really dark and I managed to hit a sleeping policeman hump in the road head on.
"I really thought I was going to die. I went flying head- first towards the concrete road, but fortunately my shoulder and cheek took the brunt of the impact, and I was wearing a helmet that saved my life.
He travelled to Miami for X-rays and scans, and later posted photographs online showing his bloodied face.
The accident happened on the fifth anniversary of a fire which destroyed his luxury home on Necker Island.
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