The comedian will play seven night at the city's SECC in October. The show dates are October 19, 20, 22, 23, 24, 26 and 27.
Connolly, who was given the all-clear from prostate cancer last year, has been hailed as the UK's most influential comedian of all time.
Tickets for the shows go on sale at 9am on Friday, July 11, priced £31.40-£33.60. For more information visit Ticket Soup.