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We develop a new framework for geometric quality assessment of as-built prefabricated façades during construction process using a 3D as-designed model and a 3D as-built semantic model. The framework is based on a digital twin approach which facilitates an automatic quantitative comparison between the 3D as-built digital replica, reconstructed from the 3D as-built lidar point cloud, and the 3D as-designed model. The framework consists of automated correspondence identification and element-based comparison on three new criteria, which ensure comprehensive measurement of the geometric quality of as-built façades regarding accuracy, completeness, and correctness. Experiments on a synthetic façade system and a prefabricated façade of an actual construction project demonstrate the ability of the framework to detect inconsistencies and perform a quantitative evaluation and localization of geometric …