Theater in Charleston, South Carolina The Dock Street Theatre is a theater in the historic French Quarter neighborhood of downtown Charleston, South Carolina. Charleston's historic Dock Street Theatre is one of the city's premiere performing arts venues. The theatre was the first building designed solely for theatrical performances and the preservation and maintenance of the historic structure is of the utmost importance. Dock Street Theatre operates year-round to showcase a variety of productions by both local arts groups and touring companies. The theatre also provides rental space for private events and meetings. The historic building is open on a daily basis for tourists to view.