We show that axion dark matter may be detectable through narrow radio lines emitted from neutron stars. Neutron star magnetospheres host both a strong magnetic field and a plasma frequency that increases towards the neutron star surface. As the axions pass through the magnetosphere, they can resonantly convert into radio photons when the plasma frequency matches the axion mass. We solve the axion-photon mixing equations, including a full treatment of the magnetized plasma, to obtain the conversion probability. We discuss possible neutron star targets and how they may probe the QCD-axion parameter space in the mass range of ∼0.2-40 μeV.