Single and double plasmon induced absorption (PIA) effects have been numerically achieved in a metal-insulator-metal (MIM) waveguides end-coupled with resonators structure. Here, the structure composed of two MIM waveguides and three side-coupled rectangular resonators is proposed to generate double PIA effects. A multimode coupling mechanism derived from the coupled mode theory is established to describe the spectral features, which is greatly agree with the simulation results, may provide a guideline for designing and analyzing the integrated plasmonic devices based on the multiple PIA effects. What’s more, dynamical control of the amplitude and bandwidth of the multiple PIA effects can be achieved by means of filling poly (methy1 methacrylate) or Kerr material in the Fabry-Perot resonators. Compared with previous reports, the multiple PIA effects are analyzed theoretically in a plasmonic waveguides end-coupled with resonators structure, will have practical applications in plasmonic filters, modulators, sensors, switches and fast light in highly integrated plasmonic circuits.