As needs arise for an adaptive service with a new concept according to 3D graphic contents restrictions in the user environments, this study proposes an adaptive service model for 3D graphic contents in ubiquitous environment. In advance, we proposed Service Rendering Middleware to reconstruct the elements of existing contents according to the changing user environments as a middle layer model. This study provides a reference algorithm that selects an appropriate mesh model in Service Rendering Middleware. The algorithm provides a service level adequate for the current environment, allowing accurate creation and management of new 3D graphic contents according to device capabilities. An increasing amount of 3D graphic contents is being serviced to a wide range of terminal devices, and the approaches suggested in this paper are expected to enable fast adaptive services that enhance user satisfaction.