For the Tobit model with independent observations, Amemiya [1] has established the strong consistency and asymptotic normality of a stationary point, @Q, of the log-likelihood. The likelihood for dependent observations may be computationally intractable, so the behavior of @Q in the presence of serially correlated observations is of interest. Under a relaxation of Amemiya's assumption of independence, we prove that @Q is strongly consistent and asymptotically normal, and give an expression for the limiting covariance matrix.