Ag/TCNQ double-layer films with different thicknesses were prepared on glasses substrate by alternately vacuum deposition of Ag and TCNQ. The metal-organic complex Ag-TCNQ formed through transport at room temperature and in atmosphere environment. The transport behavior in the film was studied by using transmission spectrum to monitor the process. An abnormal accelerated transport phenomenon was observed with the decrease of the thickness of the film, which was different from the parabola law between transport distance and transport time when the film was thicker. Tunneling and non-tunneling models were established respectively based on whether the tunneling condition was met. The theoretical analyses were carried out in detail.