Abstract: Inside moduli spaces of stable pointed curves one can consider loci which parametries curves that admit Hurwitz cover structures to over curves. These loci are called Hurwitz loci. Hurwitz-Hodge integrals are by definition integrals over these loci of Chern classes of suitably defined Hodge bundles. Hurwitz-Hodge integrals arise naturally as Gromov-Witten invariants of local orbifolds. In this talk we'll review the definition of Hurwitz-Hodge integral. We'll discuss a result, proven with Paul Johnson and Rahul Pandharipande, which expresses cyclic Hurwitz-Hodge integrals with one Hodge class as double Hurwitz numbers.