Let X be a Banach space, (xn, Fn, n<- 1) a X-valued adapted sequence on probability space (Q, F, P) . Let T be all stopping times with respect to(Fn,n < - 1) . (xn, Fn,n< - 1) is called a T- uniform amart if there exists a t0∈T such that for each t∈T with t0,E‖xt‖<∞ and if (?)=0.In this paper we prove that. |