[1] The building is currently named after its primary tenant, WEDGE Commercial Properties; the firm purchased the building in October 1994 at a price between US$25 million and $45 million,[3] and the structure serves as its corporate headquarters.

[1][4] In 1989 Exxon had office space in the Wedge International Tower.

[5] Wedge International Tower is noted for having four setbacks in its shape,[3] and for its distinctive lighting scheme, which has been in place since November 1995.

[1] The 43rd story of Wedge International Tower is home to a restaurant and bar, named Strato 550; the feature is one of the highest lounges in Houston.

[1] Wedge International Tower was the site of a fire in August 1993, which was caused by an electrical fault and damaged the upper floors of the building.