In the context of reducing energy consumption in the field of construction and environmental problems related to climate change, promoting concrete based on date palm wood waste (DPC) in new construction and the renovation of buildings is proposed. Therefore, a complete characterization of its hydrothermal behavior on a multi-scale (material, wall, and building) is necessary. The results of the literature have shown that this material exhibits an interesting hydrothermal performance thanks to the presence of date palm wood fibers. Furthermore, the objective of this research is to compare building materials based on date palm fibers with traditional materials to develop and validate a predictive model of the thermal behavior of a wall made of this material (DPC). In this paper the thermal behavior of several configurations was studied numerically at a wall scale using COMSOL Multiphysics, these configurations combine DPC and ordinary materials (concrete, mortar, bricks, expanded polystyrene, and plaster). The results confirmed that DPC shows excellent thermal insulation the wall constructed with DPC exhibits good thermal inertia compared to walls made with traditional materials.