The One Direction star has pulled out of performances in South America after being taken to hospital.
The 29-year-old said that he was following doctor's orders and planning to "rest and recover" following his scare.
He apologised to fans who had bought tickets and said he hoped to reschedule the live dates.
In a statement posted on Instagram on Friday, Payne said: "It's with a heavy heart I have to tell you that we have no other choice but to postpone my upcoming tour of South America.
