In this talk we will discuss the notion of cluster superalgebras which is a supersymmetric version of the classical cluster algebras introduced by Fomin and Zelevinsky. We show that the symplectic-orthogonal supergroup SpO(2|1) admits a cluster superalgebra structure and as a consequence of this, we deduce that the supercommutative superalgebra generated by all the entries of a superfrieze is a subalgebra of a cluster superalgebra. We also show that the coordinate superalgebra of the super Grassmannian G(2|0; 4|1) of chiral conformal superspace (that is, (2|0) planes inside the superspace C4|1) is a quotient of a cluster superalgebra. (This is a joint work with L. Li, J. Mixco and B. Ransingh)