A statement from the band said the 62-year-old, is “up and about” and doing well.
Campbell replaced his brother Ali as lead singer of the British reggae group in 2008, after Ali quit over a disagreement about management.
A statement said: “We can confirm that our lead singer and brother Duncan Campbell was taken to hospital after suffering a stroke.
“While we can report that he is already up and about, we ask fans to respect Duncan and the family’s privacy as he works his way back to what we all hope will be a strong and speedy recovery.
“We look forward to seeing you all on the road next spring.”
The news follows the band’s announcement last week that their UK tour dates due to take place in December had been rescheduled to March next year because of the Covid-19 outbreak.
Ali has been highly critical of his replacement and said watching his brother perform the band’s songs “makes my skin crawl”.
He has since toured as part of the breakaway group UB40 Featuring Ali, Astro & Mickey, and the two groups regularly hit out at each other in public.
UB40 have scored more than 40 top 40 songs in the UK and are recognised as one of the country’s most successful bands.