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Let $\mathcal{B}$ be a subcategory of a given category $\mathcal{D}$. Let$\mathcal{B}$ has monoidal structure. In this article, we discuss when can oneextend the monoidal structure of $\mathcal{B}$ to $\mathcal{D}$ such that$\mathcal{B}$ becomes a sub monoidal category of monoidal category$\mathcal{D}$. Examples are discussed, and in particular, in an example of loopspace, we elaborated all results discussed in this article.

Induced monoidal structure from the functor