This project utilizes first-principles density functional theory (DFT) to elucidate the adsorption characteristics and diffusion mechanisms of radon (Rn) and thoron (Rn-220) within commonly used construction materials, including concrete, gypsum, and brick. As radioactive noble gases, both Rn and Rn-220 represent major sources of indoor ionizing radiation, posing significant health risks and influencing regulatory frameworks for building safety. A detailed atomistic understanding of their interactions with mineral substrates is essential for the development of effective mitigation approaches and the design of low-emission building environments. The investigation systematically examines the adsorption energetics of radon (Rn) and thoron (Rn-220) on prototypical mineral surfaces, identifying their energetically favorable binding configurations and elucidating possible diffusion trajectories within the microstructural frameworks of common building materials. Through comprehensive electronic structure analyses and adsorption energy computations, the study reveals the interaction strengths and physicochemical characteristics governing the affinity of radon isotopes toward various host matrices. Furthermore, migration behavior is characterized by calculating diffusion energy barriers using the nudged elastic band method, enabling a quantitative assessment of the mobility of Rn and Rn-220 under conditions representative of real-world environments. By delivering atomistic-level insights into the behavior of radon isotopes within construction-relevant environments, this research contributes to the development of radon-resilient building materials and enhances the predictive accuracy of risk assessment models in environmental health and radiation safety. The outcomes of this study are expected to address a critical knowledge gap between fundamental materials science and its practical implementation in building regulations, public health guidelines, and indoor radiation mitigation strategies.