A new design of a vibration separator has been developed in this work. Separator includes a drum with a loading hopper, sieves placed inside the drum, a pendulum suspension, and a vibration drive. The presence of a pendulum suspension in the drum vibration separator and the symmetrical placement of the drive’s counterweights under the drum at its opposite ends will result in the separator passing through resonance at significantly lower frequencies. This will reduce the required power of the drive motors, decrease the necessary operational strength and material requirements for the supports, reduce the overall length of the separator, and increase its productivity and versatility of application. The dynamics of the vibration separator were investigated using two methods: through a developed mathematical model employing asymptotic methods of nonlinear mechanics and the Lagrange equation, and within an applied CAD/CAE system environment using integrated modules for the corresponding studies. The amplitude and frequency of vibrations are key factors that determine the efficiency of a vibration separation system. The impact of the suspension stiffness, the number of drive motor revolutions, and the torque of the counterweights on the amplitude of the separator’s working element vibrations was investigated, based on the consideration that these parameters can be easily adjusted during the operation of the vibration separator. The comparison of the results from the two methods of investigating the dynamics of the separator showed sufficient convergence.