The purpose of the study was to perform a comparative static and dynamic finite element analysis of various taper and cylindrical implant-abutment connections in three-dimensional (3D) models including: abutment, fixing screw, implant, cortical bone, cancellous bone. 3D implant model was IRIS LIKO-M system (Russia) 4 mm diameter and 10 mm length. All the models (M1—M6) were built in the same way. While maintaining the external design of IRIS LIKO-M implant, they differed only by taper angle 1.25°, 5°, 9° and its height — 0.45 and 1.85 mm; the models (M7, M8) had a cylindrical connection with a joint height of 0.45 and 1.85 mm. The bone model was 6 mm width, included cortical layer was 3 mm and the inner cancellous bone. The results of static FEA of an occlusal load showed that implant with 1.85 mm abutment connection transfer strain from edge of a cortical bone to its inner layer thus preventing marginal bone resorption. The best results showed implant model with conical taper 5° and 1.85 mm height: the smallest von Mises stress in cortical layer at tightening of the fixing screw and at masticatory load, and the larger margin of safety of an implant, the abutment and the fixing screw. The results of dynamic FEA of implant with cylindrical connection demonstrate that the gap between an abutment and an implant may occur and lead to fixing screw loosening or fracture. At the same time, the implant design with knot of interface of conical type 5° remains tight at dynamic load.