This paper presents parameter estimation of a mathematical model regarding natural vibrations of a reinforced concrete slab. Parameter estimation is based on experiments conducted on a real reinforced concrete slab. Estimated parameters include: substitute longitudinal modulus of elasticity of the reinforced concrete slab, which takes into account longitudinal reinforcement, effective thickness of the reinforced concrete slab and coefficient of damping. Using appropriate criteria during, the process of parameter estimation of the reinforcement concrete slab models has a great impact on obtaining precise results. The estimation criteria are selected in order to achieve consistency of natural vibration frequencies along with the Frequency Response Function measured during experiments with those calculated with the mathematical model. The model and all the calculations have been made using MATLAB programming environment.