Tickets are being given out by public ballot.
The Ô£104 million center, designed by Percy Thomas Architects, will house seven arts organizations, including Welsh National Opera and Diversions Dance Company of Wales.
The opening-night show includes performances by a number of Welsh performers, including bass-baritone Bryn Terfel, tenor Dennis O'Neill and harpist Catrin Finch.
On November 28, the Queen and the Prince of Wales will attend a royal gala at the MWC, with performances by Terfel, the Royal Ballet, the Kirov Ballet, Welsh National Opera, and Cape Town Opera.
A new work by Welsh composer Karl Jenkins, commissioned for the occasion, will have its world premiere at the royal gala. For part of the work, Jenkins has created music for the words of poet Gwyneth Lewis that are built, in English and Welsh, into the MWC's copper portico: "In these stones horizons sing."