A Group Support System (GSS) is a type of Information Systems that helps decision making in an organization in a group setting. Apart from groupware technologies such as email and conferencing systems, not many GSS applications have been widely accepted in organizations. Prior research has studied the factors such as task technology fit, use of appropriation mediators, and appropriation support, etc., that contribute to the successful use of GSS. Not much, however, has been written about the factors that may influence the users’ intentions to experiment and eventually accept a GSS. This study utilizes the literature on technology acceptance, adaptive structuration theory, and task technology fit to prepare a framework to investigate the factors that influence the user acceptance of GSSs in organizations.