B^0 mixing measurements from the Tevatron Run I data are reported. These include time-integrated measurements of the average mixing parameter chi-bar, six time-dependent oscillation measurements of Delta m_d, and a time-dependent limit on Delta m_s. Such measurements provide constraints on CKM matrix elements. A sample of B^0/B-bar^0 -> J/psi K^0_s decays is used to directly measure the CP-violation parameter sin(2 Beta). This value agrees well with indirect constraints from the CKM matrix.