Abstract Let us consider a simple graph . The energy of the graph is defined as the sum of the absolute values of the eigen values of the adjacency matrix [1] & [2]. The energy of , denoted by , is called Skew- Hermitian Randić energy, which is defined as the sum of the absolute values of its eigenvalues of , that is, [9]. The total π electron energy of conjugated hydrocarbon molecules are closely connected with graph invariant[10],[11]. Recently based on the eigen values of graph matrices various energies are computed. For a graph matrix, we can determine the eigen values based on which we can compute the energy of the graph. In this paper, we have determined the Skew-Hermitian Randic Energy of some standard graphs[13],[14],[15].