There are currently 10 circumbinary planetary systems known primarily discovered by the Kepler space mission. In most of them the planets orbit the central binary star system close to the stability boundary, where direct in situ formation is difficult. A possible solution assumes that the planets were formed further out in the disk and that the final positions are then determined by an evolutionary process involving disk-planet interaction. Since the evolution of the planet depends on the dynamics of the circumbinary disk and I will first discuss some recent results on disk dynamics around a binary system. These results have relevance to disks around black holes as well as young binary stars. Then, I will present the results of evolution simulations of embedded planets in such disks.