Metric spaces are certain kinds of topological spaces that have aesthetically pleasant “geometric” qualities. They are widely utilized in the pure and applied sciences and have many desirable aspects. This study introduces the Cartesian product structure within the context of fuzzy b-metric space (Fb-M space). This extension enables the creation of an extensive structure for Fb-M space. It is described and shown that some of the aspects and outcomes from Fb-M space can be transferred to this proposed setup.