Multi-material ALE computation in inertial confinement fusion code CHIC. We present a complete Arbitrary Lagrangian Eulerian (ALE) strategy devoted to the computation of multi-material fluid flows using the volume of fluid (VOF) interface reconstruction method applied to plasma physics and inertial confinement fusion (ICF). The interface tracking is coupled to a two-temperature hydrodynamics model in the framework of a collocated Lagrangian scheme. Some numerical examples, such hot shock tube problem and ICF-like problem, provide a clear evidence of the robustness and the accuracy of the method.