The energy deposition of alpha particles produced by deuterium–tritium (DT) fusion reactions plays a critical role in achieving self-sustaining burn in inertial confinement fusion (ICF). Accurate modeling of charged particle transport in hot, dense plasmas remains a challenging task due to the complex interplay of Coulomb collisions, collective effects, and material properties. In this work, the modified Li-Petrasso (MLP) theory is implemented into the Geant4 Monte-Carlo simulation toolkit to enable high-fidelity modeling of alpha particle transportation in ICF-relevant plasmas. This work constructs a detailed geometric model of a DT fuel capsule comprising 50 concentric spherical layers and performs simulations. The ranges, energy partition ratios between electrons and ions, layered energy deposition ratio of alpha particles and the collision frequency of alpha particles and neutrons with fuel ions are systematically analyzed and compared with predictions from MD and BPS theories. The results show that the range of alpha particles increases significantly with temperature and is less sensitive to density changes. The energy partition ratio to ions increases with both temperature and density, though discrepancies with existing models are observed near the Bragg peak. Layered energy deposition ratios reveal that higher densities localize energy deposition inward, while higher temperatures shift deposition outward, aiding burn propagation. The results also show that although fusion-neutrons carry away most of energy, they still undergo a number of elastic scatters inside the plasma. This study firstly demonstrates implementation of MLP within Monte-Carlo toolkit for simulating charged particle transportation in fusion plasmas and provides insights essential for optimizing ICF target design.