In this paper, we introduce (1, 2) *-fuzzy soft b-open sets and (1, 2) *-fuzzy soft b-closed sets in fuzzy soft bitopological space and exhibit the properties of (1, 2) *-fuzzy soft bopen sets. Then we discuss the relation with (1, 2) *-fuzzy soft regular-open, (1, 2) *-fuzzy soft pre-open, (1, 2) *-fuzzy soft semi-open, (1, 2) *-fuzzy soft α-open, and (1, 2) *-fuzzy soft β-open in fuzzy soft bitopological space. Also, we introduce and investigate the concepts of (1, 2) *-fuzzy soft b-interior, (1, 2) *-fuzzy soft b-closure in fuzzy soft bitopological space and analyze the relations between these concepts. Keywords: (1, 2) *-fuzzy soft b-open set, (1, 2) *-fuzzy soft b-closed set, (1, 2) *-fuzzy soft regular-open, (1, 2) *-fuzzy soft pre open, (1, 2) *-fuzzy soft semi open, (1, 2) *-fuzzy soft α-open, (1, 2) *-fuzzy soft β-open, (1, 2) *-fuzzy soft b-interior, (1, 2) *-fuzzy soft b-closure.