In this paper we study Henstock-Bochner and Henstock-Dunford integral on [a,b]. We discuss some properties of  the integrable. For every function which Henstock-Bochner integrable then it is Hentsock-Dunford integrable. The contrary is not true. Further more, let for any  and collection  is Henstock-equi-integrable. We will show that function  is Henstock-Bochner integrable on  if only if it is Henstock-Dunford integrable on .
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