Franklin is due to hit Northern Ireland later on Sunday, and the Met Office has issued an amber wind warning.
The forecaster said the low-pressure system will bring winds of up to 80mph in coastal areas and between 60-70mph inland, with buildings at risk of being damaged and travel disruption likely.
Franklin is then expected to move on to mainland Britain, with the coasts of Scotland and north west England due to be lashed by gusts of up to 75mph. The Met Office has issued an amber warning for these areas, with winds also expected to reach 60mph further inland.
The storm is expected to clear into the North Sea later on Monday morning, but high winds will be felt throughout the day.
Andy Page, the Met Office chief meteorologist, said: “Following the significant impacts of Storm Eunice on Friday, Storm Franklin will bring further high winds for many late on Sunday and into Monday, although not on the same scale as Eunice.
“Coastal areas of Northern Ireland, especially on that north coast, will get the strongest wind gusts, which could be around 80mph in a few places.
“Amber and yellow wind warnings have been issued, and people should remain cautious ahead of the system, which will bring 50 to 60mph wind gusts for much of the UK from late on Sunday and through Monday.”