Let be a measurable space and every single point set {x} belong to P(s, t, x, A) (0≤s≤t<∞, ) is said to be a Markow proeess,it(i) For fixed s, t, A, P(s, t,·, A) is a measmrable function of x;(ii) For fixed s, t, x, P(s, t, x,·)is a measure on ,and 0≤P(s,t,x,)≤1; (iii) (k-c) equation is satisfiedIn this paper the following main results are obtained:(1) P(+,t,x,A) is continuous on [o,t] uniformly for t≥0.(2) P(s,·,x,A) is continuous from right on [s, ∞] uniformly for(3) If P(s,t,x,A) satisfies:Moreover, under some additional conditions, we have where P(s,t,x,A) is a continuous kf and t on for fixed x and A.