In a load-bearing concrete vertical building part, particularly a support, with an upper support area for a load-transferring connection to a concrete horizontal building part thereabove, in which the vertical building part includes reinforcements with reinforcement rods extending essentially vertically beyond the upper support area, an upper section of the vertical building part abutting the upper support area is embodied as a thermal insulation element for the thermal decoupling of the vertical building part from the horizontal building. The upper section forming the thermal insulation element is made at least partially from a compressive load transferring and thermally insulating material, particularly light-weight concrete, and reinforcement rods extending beyond the upper support area are made from a fiber composite material, and extend through the upper section of the vertical building part forming the thermal insulation element essentially vertically to the lower section of the vertical building part located underneath thereof.