We consider the finite-dimensional simple modular Lie superalgebra Ω which was defined by Zhang and Zhang (2009), over an algebraically closed fields of characteristic p > 3. In this paper, we determine the second cohomology group of the modular Lie superalgebra Ω by computing the first cohomology group H1 (Ω, Ω ∗ ), where Ω ∗ denotes the dual space of Ω.