Let $G$ be a simple graph with the degree sequence $(d_1, d_2, ldots,d_n)$. Given a positive integer $p$, denote the sum of degree powers of $G$ by $e_p(G)=sum_{i=1}^nd_i^p$. The degree power has extensive applications not only in the study of graph structures but also is closely related to graph spectra. In this talk, we show some extremal results on the sum of degree powers of graphs.