Double-clad polymer optical fiber amplifiers (POFA) have lower dyes bleaching.A numerical model for characterizing double-clad dye-doped polymer optical fiber amplifiers is proposed. Based on rate equation and the pump power propagation equation in a double-clad dye-doped polymer fiber,the models take into account both the influences of the ternary state of dye molecule on rate equation and double-clad scheme on pump light absorption.The model is capable to predict amplifier gain,output spectrum and gain saturation when the POFA is in a steady state.The numerical simulation result shows the Double-clad POFA can achieve a gain of 39 dB when pumping power is 7 kW.