The thermal performance of point-fixed glass façade systems remains underexplored, especially in comparison to line-supported curtain walls. Currently, no standardized method exists for evaluating the point thermal transmittance of these systems. This study investigates the thermal behavior of point-fixed glass façades through detailed three-dimensional finite element modeling. Parametric geometric models were developed to simulate real-world scenarios, incorporating various fixing types, materials, and configurations. The results reveal significant differences in point thermal transmittance among common fixing types, especially where the glass is fully drilled through. The non-flush cylindrical head fixing exhibited the highest thermal losses (0.242–0.258 W/K), followed by the countersunk head fixing (0.225–0.240 W/K), while the hidden fixing type showed the best thermal performance (0.0194–0.0129 W/K). These values represent the total point thermal transmittance for a complete four-point spider fixing. The results offer a comprehensive understanding of point thermal bridges in these systems and highlight key design parameters affecting thermal efficiency. This research aims to support informed design decisions and contributes toward the development of a thermal bridge catalogue for point-fixed façade systems.