Klebsiella quasipneumoniae is an emerging pathogen in human medicine. We report draft genome sequences of NDM-1- and KPC-2-producing K. quasipneumoniae strains from inpatients in Brazil. K. quasipneumoniae subsp. quasipneumoniae and K. quasipneumoniae subsp. similipneumoniae harbored broad resistomes. These data could contribute to a better understanding of acquired resistance in K. quasipneumoniae.