The lorry overturned on to the central barriers from the southbound carriageway of the Humber Bridge at about 13:45 BST, police said.
A caravan was blown from a transporting trailer on the M62 at the Ouse Bridge, near Goole, causing major disruption.
The lorry driver was taken to hospital for minor injuries, while the driver of the trailer was unhurt.
The Met Office issued a yellow warning of wind reaching gusts of up to 60mph in places before 19:00 BST.
A spokesperson said it had recorded a gust speed of 49mph at Leconfield between 13:00 and 14:00 BST, and 52mph in Bridlington between 10:00 and 11:00 BST.
Strong winds gusting to almost 50mph have blown over a lorry and a caravan in East Yorkshire.