3D Tele-Immersion (3DTI) system brings 3D data of people from geographically distributed locations into the same virtual space to enable interaction in 3D space. One main obstacle of designing 3DTI system is to overcome its high bandwidth requirement when disseminating the 3D data over the network. Bandwidth adaptation framework is needed to handle the heterogeneity of the available network throughput. In this work, we propose an object-level bandwidth adaptation framework for 3DTI system (OBA3D). Unlike existing adaptation frameworks which work at the frame level or Group-of-picture (GOP) level, OBA3D takes advantage of the 3D semantics contained in the 3D frame. It conducts bandwidth adaptation at the object-level and achieves more fine-grained control over 3D video quality. We evaluate the performance of OBA3D on a real 3DTI testbed. OBA3D is shown to achieve good quality-of-experience when the network throughput is substantially lower than the required bandwidth for data transmission.