The idea behind the neutrosophic set is we can connect the concept by dynamics of opposite interactsand its neutral that are uncertain and get common parts. Automata theory is beneficial to solve computationalcomplexity problem and also it is an influential mathematical modeling tool in computer science. Inspired bythe concepts of neutrosophic sets and automata theory, here, we are introducing and discussing the algebraicconcept of neutrosophic finite automata based on the paper [10]. Generally, composite machines can be achievedby the output of the one machine that will be used as input for another machines. This paper introduced theconcept of composite automata under the environment of the neutrosophic set and also examined the boxfunction between the composite neutrosophic finite automata