The advent of deep sub-micron and 3D integration technologies has exacerbated reliability issues in packet-switched on-chip interconnection networks. A lot of researches have been conducted in order to make these systems immune to any short-term malfunction or permanent physical damage while minimizing the performance degradation as much as possible. In this paper, we present an adaptive Error-, and Traffic-aware 3D-NoC router architecture, called 3D-Fault-Tolerant-OASIS (3D-FTO). 3D-FTO manages to avoid the system failure at the presence of a large number of faults and addresses the fault occurrence in links, input-buffers, and the crossbar, where the faults are more often to happen. The proposed 3D-FTO system was synthesized using Synopsis Design Compiler at 45nm CMOS process technology. Evaluation results show that our 3D-FTO is able to work around different kinds of faults ensuring graceful performance degradation while minimizing the additional hardware complexity and remaining power-efficient.