The music icon began performances of "Manilow on Broadway" last week and the show was set to open Thursday.
However, he fell ill Tuesday and canceled Tuesday and Wednesday nights' performances.
On Thursday, he announced he is canceling shows for the rest of the week but would be back on stage Tuesday, Jan. 29.
"On doctors' orders, 'Manilow on Broadway,' has been forced to reschedule tonight's opening night along with the remainder of this weekend's performances," a statement from the show's representatives said Thursday. "'Manilow on Broadway' will resume performances on Tuesday, Jan. 29. It turns out the only thing worse than hell and high water is bronchitis. Barry is deeply sorry to disappoint his fans and is doing everything he can to ensure a speedy recovery."