Dental implants are surgically implanted into the patient's jaw to replace a missing tooth. The implant should have adequate time to integrate with bone before being subjected to masticatory force to avoid early failure. Resonance frequency analysis (RFA) is one of the approaches for determining an implant system's primary stability in terms of micromotion. This research aims to create a two degrees-of-freedom (DOF) mathematical model for dental prostheses based on the vibroacoustic RFA approach. In vibroacoustic system, a loudspeaker or buzzer is used as an input and the displacement of implant is measured using RFA. A sinusoidal force is used which produces a combination of translational and rotational motion of the implant system. While adjusting the input frequency from 4000 to 12,000 Hz, is used with the help of matlab which later computes the implant system's subsequent micromotion and resonance frequency. matlab is used to visualize the resonance frequency, which is 6658.38 Hz in case of rotational motion and 8138 Hz in translational motion. The micromotion was 1.2692 × 10−11 m in case of translational motion and 6.91088 × 10−9 radians in case of rotational motion. When there is less micromotion, a higher resonance frequency suggests more excellent osseointegration. For the evaluation of implant stability, a mathematical model is a primary approach that can be implemented to design a stability device using vibroacoustic RFA.