We investigate the mass differences ∆M B d,s in the mixing B 0 d,s −B 0 d,s with a new up-like quark t ′ in a sequential fourth generation model. We give the basic formulae for ∆M B d,s in this model. (1), then, we analysis the final numerical results of ∆M Bs , which is the function of m t ′ through a fourth generation CKM factor V * t ′ s V t ′ b constrained by the rare decay B → X s l + l − and two new Wilson coefficients S 0 (x t ′ ) and S 0 (x t , x t ′ ). We found that one kind of the new results are satisfied with the present experimental low-bound of ∆M Bs . (2), we get the constraint of the fourth generation CKM factor V * t ′ b V t ′ d , (which is also the function of t ′ ), from the experimental measurements of ∆M B d and give the figs. of V * t ′ b V t ′ d to m t ′ and the general CKM factor V * tb V td . We also give the numerical results of the Wilson coefficients S 0 (x t ′ ), S 0 (x t , x t ′ ) and η t ′ , η tt ′ as the function of m t ′ . We also talk about the hierarchy of the fourth generation CKM matrix. As one of the directions beyond the SM, ∆M B d,s could provide a possible test of the fourth generation or perhaps a signal of the new physics.