Carbapenem-resistant Klebsiella pneumoniae (CRKP) is a clinical pathogen with a high mortality rate, and its clinical management and infection control have become a serious challenge. Phage-encoded depolymerase cleaves the capsular polysaccharide, a major virulence factor of K. pneumoniae. This study aimed to identify a phage depolymerase targeting ST11 K64 CRKP, evaluate its antimicrobial activity and therapeutic efficacy, and provide new alternative therapeutic strategies for K64 CRKP. Phages were screened from untreated hospital sewage using clinically isolated CRKP as the host bacterium. The host range, efficiency of plaque formation, optimal multiplicity of infection, adsorption efficiency, and one-step growth curve of phage vB_KpnP_IME1309 were determined by the double-layer agar plate culture method. The morphology of the phage was observed by transmission electron microscopy. Phage nucleic acids were extracted for whole-genome sequencing, and the phage-encoded depolymerase gene ORF37 was amplified by polymerase chain reaction. Next, a recombinant plasmid was constructed to induce depolymerase expression, which was verified using sodium dodecyl sulfate-polyacrylamide gel electrophoresis. In vitro bactericidal activity was determined using a combined serum assay, and the anti-K. pneumoniae biofilm effect of depolymerase was determined by crystal violet staining. Finally, a Galleria mellonella larvae infection model was established to investigate the therapeutic effect of depolymerase on larvae in vivo. Here, we isolated and characterized a phage vB_KpnP_IME1309 targeting ST11 K64 CRKP, which featured a latent period of 20 min and a burst size of approximately 290 plaque-forming units/cell. It contained 41 predicted open reading frames, of which ORF37 encoded depolymerase. The expressed and purified depolymerase Dep37 cleaved only ST11 K64 CRKP and formed a translucent halo on the agar plate. Dep37 increased the susceptibility of K. pneumoniae B1 to serum killing, inhibited CRKP biofilm formation, and degraded mature biofilms. The combination of Dep37 and kanamycin was significantly more effective in treating CRKP biofilms compared to either Dep37 or kanamycin alone. An injection of Dep37 at 5 min and 2 h after the CRKP infection of Galleria mellonella larvae increased their survival rates by up to 73% and 53%, respectively. Depolymerase Dep37 may be used as a potential method for capsule typing of K. pneumoniae, showing great promise for the development of novel alternative therapeutic strategies against ST11 K64 CRKP.