Here, we present an overview on the recent progress in the development of the laser-driven neutron source (LDNS) and nuclear resonance absorption (NRA) imaging at the Institute of Laser Engineering (ILE), Osaka University. The LDNS is unique because the number of neutrons per micro pulse is very large, and the source size and the pulse width are small. Consequently, extensive research and development of LDNSs is going on around the world. In this paper, a typical neutron generation process by the laser-driven ion beam, called the pitcher-catcher scheme, is described. The characteristics of the LDNS are compared with those of the accelerator-driven neutron source (ADNS), and unique application of the LDNS, such as NRA imaging, is presented. In the LDNS, NRA imaging is possible with a relatively short beam line in comparison with that of the ADNS since the neutron pulse width and the source size of the LDNS are small. Future prospects in research and development of NRA imaging with the LDNS at ILE Osaka University are also described.