The research explained in this paper is about the mechanical principle applications on regulated form and function, forces, motion of teeth and dental implant influencing the implant length and bone quality in biomechanics engineering modeling in dentistry. The non-linear finite element method was employed as an advanced computer technique of structural stress analysis tool for biomechanics modeling using mechanical, mathematical, and biological definitions and concepts. A finite element model of dental implant with accurate geometry and material properties was developed to make realistic investigations on the implant biomaterial properties and mechanical behavior of new dental implant. The finite element models with non-linear contact elements were used to simulate an interface fixation within the implant system and the sliding function of the non-rigid connector. This research showed that implant design influences force transmission characteristics in pen-implant bone and mechanical signals affect bone tissue differentiation. Hence, it is important to control biomechanical loads on dental implants to maintain osseointegration and to promote early bone implant interface healing. The results of this analysis are helpful for implant biomaterial selection and design for clinical interest.