A partition wall, more particular a party wall, for a building structure comprising a plurality of building units separated by such partition wall to provide acoustic insulation therebetween, said partition wall having a first and a second side and comprising: a plurality of column assemblies, such as at least two, substantially vertically mounted in a generally horizontally oriented base profile, each column assembly comprising a central element made of mineral wool fibres and at least a first spacer elements made of mineral wool fibres and extending from said central section towards the first side with a first intermediate profile provided between the central element and the first spacer elements and a second intermediate profile provided on the side of the central element facing the second side of the wall, a second spacer elements made of mineral wool fibres and extending towards the second side of the partition wall; and wherein the density of the mineral wool in the central element is higher than the density of the first and second spacer elements (12, 13), one or more insulation sections (20, 21, 22) fitted between two adjacent column assemblies, wherein each insulation section comprises an inner mineral wool fibre panel provided in a close fit between the central elements of said adjacent column assemblies; first and second mineral wool fibre panels (21, 22) provided in a close fit between the first and second spacer elements (12, 13), respectively, of said adjacent column assemblies, and wherein the densities of said first and second mineral wool fibre panels are substantially the same and lower than the density of the inner mineral wool panel; and a first external wall cover abutting the first mineral wool fibre panel and secured to the first spacer elements of the adjacent column assemblies, and a second external wall cover abutting the second mineral wool fibre panel and secured to the second spacer elements of the adjacent column assemblies, characterized in that at least one of the first and second spacer elements (12, 13) in the column assembly has a fibre orientation which is substantially parallel with the main fibre orientation of the first and second mineral wool panels (21, 22). a plurality of column assemblies, such as at least two, substantially vertically mounted in a generally horizontally oriented base profile, each column assembly comprising a central element made of mineral wool fibres and at least a first spacer elements made of mineral wool fibres and extending from said central section towards the first side with a first intermediate profile provided between the central element and the first spacer elements and a second intermediate profile provided on the side of the central element facing the second side of the wall, a second spacer elements made of mineral wool fibres and extending towards the second side of the partition wall; and wherein the density of the mineral wool in the central element is higher than the density of the first and second spacer elements (12, 13), one or more insulation sections (20, 21, 22) fitted between two adjacent column assemblies, wherein each insulation section comprises an inner mineral wool fibre panel provided in a close fit between the central elements of said adjacent column assemblies; first and second mineral wool fibre panels (21, 22) provided in a close fit between the first and second spacer elements (12, 13), respectively, of said adjacent column assemblies, and wherein the densities of said first and second mineral wool fibre panels are substantially the same and lower than the density of the inner mineral wool panel; and a first external wall cover abutting the first mineral wool fibre panel and secured to the first spacer elements of the adjacent column assemblies, and a second external wall cover abutting the second mineral wool fibre panel and secured to the second spacer elements of the adjacent column assemblies, characterized in that at least one of the first and second spacer elements (12, 13) in the column assembly has a fibre orientation which is substantially parallel with the main fibre orientation of the first and second mineral wool panels (21, 22).