The Three Lions have traditionally worn a red change strip - most notably in the World Cup final in 1966 - but changed to navy for the tournament in Poland and Ukraine.
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"The kit sees the welcome return of England's most popular and evocative red away colour," according to Nike.
"First worn in 1951, England famously wore red shirts when they won the World Cup at Wembley in 1966."
The Three Lions logo is in gold to celebrate the 150th anniversary of the Football Association, above which a single gold star recognises England's 1966 World Cup win.
Hodgson's side will wear white shorts and red socks with white trim with the new red shirts. The kit is likely to be debuted in the friendly against Brazil in Rio de Janeiro in June.