Internal insulation is a typical renovation solution in historic buildings with valuable façades. However, it entails moisture-related risks, which affect the durability and life-cycle environmental performance. In this context, the EU project RIBuild developed a risk assessment method for both hygrothermal and life-cycle performance of internal insulation, to support decision-making. This paper presents the stochastic Life Cycle Assessment method developed, which couples the LCA model to a Monte-Carlo simulation, providing results expressed by probability distributions. It is applied to five insulation solutions, considering different uncertain input parameters and building heating scenarios. In addition, the influence of data variability and quality on the result is analyzed, by using input data from two sources: distributions derived from a generic Life Cycle Inventory database and "deterministic" data from Environmental Product Declarations. The outcomes highlight remarkable differences between the two datasets that lead to substantial variations on the systems performance ranking at the production stage. Looking at the life-cycle impact, the general trend of the output distributions is quite similar among simulation groups and insulation systems. Hence, while a ranking of the solutions based on a "deterministic" approach provides misleading information, the stochastic approach provides more realistic results in the context of decision-making.Sustainability 2020, 12, 1535 2 of 35 and cultural values. For this reason, internal insulation is generally considered as a valid alternative to external insulation in order to improve the buildings' thermal performance. However, its design and application could be technically complex entailing several risks [4,5]. For instance, the risks of internal dampness, mold growth, interstitial condensation, and freeze-thaw damage may further lead to structural deterioration, aesthetical damages, and eventually a reduced service life for the whole renovation intervention. At present, there is a lack of knowledge on how to apply correctly internal insulations and handle the inherent risks. The EU project RIBuild (Robust Internal Thermal Insulation of Historic Buildings) aims to fill this gap, by investigating how and under which conditions internal insulation can be safely used [6].Regarding insulation materials and systems for historical buildings, there is a large number of products available in the market, including natural materials (e.g., cellulose, cork), conventional materials (e.g., mineral wool, glass wool, polyurethane, expanded polystyrene, insulating plaster) and other advanced materials (e.g., calcium silicate, aerated concrete) [7,8]. According to Vereecken, internal insulation systems can be categorized into three types: (i) condensate-preventing insulation systems, based on vapor-tight insulation materials or metal foil; (ii) condensate-limiting insulation systems with normal or smart vapor barrier; (iii) condensate-tolerating insulation systems with capillary act...