Traditional synthetic aperture radar (SAR) imaging relies on wideband transformed waveforms. SAR using narrowband continuous waveforms (NCW) has been proved to be also able to achieve high resolution imaging exploiting high Doppler resolution. NCW-SAR has the following advantages: it occupies very small band resources, it promotes the development of lowcost and small SAR, it is much applicable to passive SAR using illuminators of opportunity, which usually transmits waveforms with relatively narrow bandwidth. Firstly, the application potential of NCWSAR is pointed out. The development of narrowband imaging is briefly reviewed and the state of art NCWSAR imaging technology is analyzed. Then, a general SAR received signal model is presented and afterwards, a moving target imaging method for NCWSAR is proposed to focus the moving targets on the ground scene. The velocity estimation method as well as the velocity resolution analys is is also presented. The simulation results demonstrate the effectiveness of the proposed NCWSAR moving target imaging method.