Stephen Hendry, who won a record seven world titles at the Crucible, will be among the special guests for the official re-opening of the theatre next week.
The Crucible has undergone a £15.3m redevelopment with a new stage, improved front of house facilities and remodelled bar area.
Prince Edward will officially re-open the iconic Sheffield venue, with Hendry invited as recognition of snooker's unique association with the theatre.
"The re-opening of the Crucible is a major boost for the city and the region. We are absolutely delighted to have the Earl of Wessex with us to celebrate the official re-opening. The theatre will once again be of huge benefit to the public with an excellent set of new facilities and new programme of dynamic and exciting work," said Dan Bates, chief executive of Sheffield Theatres.
Last season, a new deal was signed to keep the World Championship at the Crucible for the next five years.