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Banach Contraction Principle (BCP) is a fundamental result in metric fixed point theory and it is a very powerful tool in solving the existence problems in pure and applied sciences. Also, the fuzzy set theory has many applications in various branches of engineering, mathematical sciences including artificial intelligence, control engineering, computer science, management science etc., see [1]. The aim of this paper is to study a common fixed point results for fuzzy mappings under implicit relation in a complex-valued metric space. we introduces a new class of an implicit relation to prove a common fixed point theorems for fuzzy mappings in this paper and constructed some examples to illustrate the main theorem. Also, we gave the consequences of our main result. The results have been reached in our current research work that consider applying for an integral0type0contractive0condition, these 0results0are 0extention0 ofnmanyw resultszinz thiszfield.

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