ate change is affecting people’s life worldwide. Not only are extreme events becoming more frequent and destructive, but also a larger variability in meteorological parameters such as temperature, precipitations and wind-speed can be responsible for slow yet irreversible modifications in the natural environment as well as accelerated degradation in materials and structures. In this context, cultural heritage architectural assets can be particularly vulnerable due to the fragility of their material and crucial to be preserved given their historical, artistic and cultural value. For this reason, their preservation needs innovative approaches for analysis and assessment. This paper explores how climate parameters as humidity and temperature affects heritage masonry materials, influencing their mechanical performance. To this aim, a recently developed damage model for masonry [1] is enhanced through the inclusion of heat-moisture diffusion model in unsaturated porous media to assess how the long-term behaviour in terms of stress state and damage are affected by variation of climatic conditions. Experimental tests on Durham’s Sandstones, representing the main construction materials of the city of Durham, including Durham Castle [2] and Cathedral, a UNESCO-protected site in the United Kingdom, are performed to calibrate the numerical model, while future projections on climate parameters are used to predict the structural behaviour according to specific climate scenarios.