The Generic Security Service Application Programming Interface (GSS-API) offers a common interface to mechanism and protocol independent security. The contexts defined by GSS-API only support point-to-point interactions, and no support is provided for the interaction of multiple parties. This document describes group GSS-API (gGSS-API), an extension to support secure group contexts. As demonstration of one possible manner in which the group security features of such an extended API can be achieved, a sample protocol realization is outlined. Concerning deployment of gGSS-API, its use together with a secure IP multicast service is described as evidence that there are multiple ways in which, and layers at which, a group generic security service can be useful.