The subject System Identification and Simulation is focused on the experimental identification of the dynamic systems and on the realization of the mathematical models of the dynamic systems using computer simulation. The methods for the model parameterization using different testing signals – step input, ramp signal, general input signal, random signal are explained after the summary of the used basic forms of the mathematical models in the time and frequency domain, continues and discrete models. The second part of the of subject is focused on the numerical methods used by the realization of the mathematical models on the digital computers. The curve fitting methods – approximation, interpolation, next numerical integration, numerical derivation and numerical methods for the solution of the differential equation – initial value problems, including of the conditions for their use and numerical stability of the obtained solution.