The primary stability of a bone-prosthesis interface is essential in preventing post-operative failure caused by insufficient bone ingrowth and implant loosening. The present study is an attempt to determine the implant-bone micromotion and tibia stress due to the insertion of a tibial design (BOX®) for total ankle replacement. The study also investigated the influence of the interfacial friction and bone quality on both the micromotion, and the stress generated in the tibia bone. Overall, standard implanted model results revealed that peak and mean micromotion exhibited a range of 74.56–142.84 μm and 3.84–14.18 μm, respectively, by changing the coefficient of friction from 0.5 to 0.1. Additionally, as the quality of bone deteriorated, both the peak and mean micromotion increases. Moreover, the standard bone quality model, resulted in 39.78% stress shielding and with the drop in quality of bone; there was a rise in stress shielding.