Despite previous studies about intrinsic termination, it is uncovered what is the fate of RNA polymerase (RNAP) after termination. In our previous single molecule fluorescence study, RNAP dissociation is often followed by RNA transcript release in bacterial intrinsic termination. Moreover, remained RNAPs on DNA can diffuse one dimensionally in bi-direction, and these RNAPs can bind to nearby promoter on template DNA and initiate transcription again. In this study, we measure the diffusion coefficient of remained RNAPs under variable salt condition and we unveiled that diffusion of RNAPs after termination can be described as hopping. Furthermore, this hopping mode makes it possible that diffusion of RNAPs recognizes the promoter located on not only template DNA but non-template DNA.