The TV presenter was in a remote part of Mozambique in east Africa shooting the Amazon Prime programme when the accident occurred, according to The Sun.
In a post, entitled 'Yes, I fell off but yes, I'm fine. Sorry', shared on motoring social media platform DriveTribe, Hammond confirmed the reports.
He wrote: "Thanks for enquiries re my slight shunt whilst filming for GT.
"I can confirm that yes, I fell off a. bike, many times, in fact and yes, I banged my head and everything else. But life goes on (sic)."
Hammond's co-star Jeremy Clarkson had told the newspaper: "He really did hurt himself quite badly."
But asked if fellow host Hammond went to hospital, Clarkson joked: "We don't do hospitals."
It comes 11 years after Hammond suffered life-threatening head injuries following a high-speed crash as he filmed for BBC's Top Gear in 2006.
The presenter was in a coma for two weeks following the 288mph accident, but made a full recovery.