During the total or partial hip replacement procedure, a damaged part of the hip joint is replaced with an artificial one. Both types of procedures include removal and replacement of the femoral head. After the femoral head is removed, an implant is inserted into the hollow femur. When the healing process starts, the newly formed bone interlocks with the inserted implant. Experimental studies indicate that lower shear stress in the bone-implant contact will result in better bone-implant connection. The goal of this study was to use the numerical approach in order to analyze the shear stress values of the three simple modifications of the hip implant surface. Numerical approach consisted of the implementation of the finite element method (FEM) for the simulation of the bone-implant interaction and for the calculation of the shear stress values of the three modified surface topographies in the titanium alloys (Ti-6Al-4V) implants.