For a long time the B0(s)-B-bar0_s system has eluded a complete investigation of its observables. Only recently the Tevatron experiments have accumulated sizable B0(s) samples, which allow a direct and precise study of the system properties. This contribution reviews the most up-to-date measurements by the CDF and D0 Collaborations of the B0(s)-B-bar0_s system parameters: the mass and decay width differences, Delta m_s and Delta Gamma_s, between the heavy and light B0(s) mass eigenstates, the average decay width Gamma_s, and the CP-violating phase in the mixing phi_s.