For the good conductivity and photovoltaic properties of conductive polymers, especially poly 3,4-ethylenedioxythiophene: sulfate (PEDOT:Sulf), which has good thermal stability. PEDOT:Sulf can be applied to solar cells, thermoelectric, thermophotovoltaic and flexible devices. In this work, we use PEDOT:Sulf to study the properties of near-field radiative heat transfer (NFRHT) between conductive polymers, which can support infrared localized surface plasmon resonances. These plasmon resonances are hyperbolic phonon polaritions (HPPs) excited by polarized carriers in the polymer network. The theoretical computational model of NFRHT based on organic plasmon resonance is developed to compare the near-field thermal radiation properties of different materials, such as PEDOT:Sulf, hexagonal boron nitride (hBN), and PEDOT:Sulf on silicon oxide (SiO₂) substrate. The relationship for NFRHT of different materials at different gap distances for the temperature difference between the emitter and receiver is analyzed. The NFRHT of PEDOT:Sulf is 3.86×10⁵ W/m², which is more than 5 time larger than that of hBN with the gap distance of 10 nm. And the NFRHT of PEDOT:Sulf/SiO₂ is 1.48×10⁶ W/m² with the gap distance of 10 nm. This enhancement of NFRHT is mainly due to the strong coupling between the surface phonon polaritons excited by SiO₂ and HPPs excited by the PEDOT:Sulf, which form hybrid polaritonic modes. The spectral heat fluxes and contours of energy transmission coefficients for NFRHT of different materials are further analyzed to study the mechanism of NFRHT of the conductive polymers. With the help of monolayer graphene, dynamic modulation of NFRHT between conductive polymers is realized. The results of this work will provide the theoretical and empirical guidance for the applications of the conductive polymers in practical scenarios of heat transfer.