This paper investigates the dynamic response of a large production machine used for surface finishing of oversized ceramic tiles through tool machining. In particular, the study aims at improving this phase of the industrial process, as well as the overall quality of the final products. As the finite element method has become an essential solution technique in many areas of engineering related to dynamic processes, the FEM is utilized in the optimization of machine basement for ceramic tile finishing. Two different basements of cutting machine have been considered as alternative design solutions. The responses in frequency and phase have been observed and compared. Stresses and strains have been also considered for comparison. This numerical computation permitted to select a convenient design option for the basement.