Carbapenemase-producing Klebsiella pneumoniae represents an emerging public health issue. Here, we present the draft whole-genome sequences of K. pneumoniae clinical strains KPL0.1 (OXA-48 carbapenemase) and KPL0.2 (NDM-1 carbapenemase). These genome sequences should help in investigating pathophysiological mechanisms of digestive colonization or infection with these highly resistant bacteria.