In the present work, we introduce bipolar fuzzy supra topological space as a generalization of fuzzy supra topological space, investigate the basic properties, give the concepts of interior and closure and encouraged them by examples and counterexamples. Moreover, we study the concepts of bipolar fuzzy supra continuity and 𝑆 * bipolar fuzzy supra continuity and see that composition of two 𝑆 * bipolar fuzzy supra continuous functions may not be a 𝑆 * bipolar fuzzy supra continuous function. Also, we attempt to define the concept of compactness on bipolar fuzzy supra topology.