Abstract: Firstly,in order to complete the theory of fuzzy integrals and meet the need ofpractical problems,the concept of the Henstock integral of a fuzzy number-valued function over a directed lineis proposed and the properties of this integral are discussed by means of the Henstock integralof interval-valued functions,vector-valued functions and real-valued functions.Secondly,the integrability of the fuzzy derivative function over the fuzzy line is discussed and the Newton-Leibniz formula is obtained.Finally,an example shows that the results discussed in this paper generalize the previous work.