Recent Lifetime and Mixing Measurements at the Tevatron

We present the latest $B$ hadron lifetimes, $B_s^0$ mixing, and $D^0$ mixing measurements using up to 3.0 fb${}^{-1}$ of data collected by CDF and D0 experiments at Fermilab. The $B_s^0$ lifetime is measured from both $J/\psi \phi$(CPadmixture)andflavorspecificchannels,andthe$B_c$ lifetime is obtained from semileptonic channels. Following the $B_s^0$ oscillation frequency measurement at CDF in 2006, the D0 collaboration now observes $B_s^0$ oscillation at a significance of about 3$\sigma$. Since the first $D^0$ mixing evidence established at $B$ factories in 2007, CDF has observed $D^0$ mixing at a significance of about 4$\sigma$ level, the first time from hadron collider.