The rockers were due to perform at the Monsters Of Rock festival in Sao Paulo, Brazil on Saturday (25Apr15), but they pulled out of the line-up just hours before they were due on stage after the singer was taken ill.
The 69-year-old star was reportedly taken to a local hospital for tests and later discharged.
The band released a statement on Monday (17Apr15) to update fans on Lemmy's condition, declaring he is now recovering well and is determined to continue with the band's upcoming tour dates.
The message, posted on Instagram.com, reads, "Due to a food related tummy problem, unfortunately Lemmy was not able to perform the show in Sao Paulo. He is already feeling much better and ready to continue the South America dates! Next stop Curitiba (in Brazil)! Lemmy regrets this mishap very much and is looking forward to making it up to all the fans."
The veteran rocker has suffered a number of health problems in recent years, including heart surgery in 2013 which nixed plans for a European tour.