ABSTRACT: The Degree exponent DE matrix of a graph G, denoted by DE(G) whose vertex vi has degree di , is defined as the n × n matrix whose (i, j)-th entry is (di)dj , if vi and vj are adjacent and 0 for other cases. The Degree exponent energy (DEE) of G is the sum of absolute values of the eigenvalues of DE of G. In this paper, we present our results on degree exponent polynomial and degree exponent energy of different graph classes.