Abstract: The present invention relates to sectional tower structures for most effective use as supporting structures of tall smoke stacks exceeding 250 m in height. Said structure comprises a reinforced-concrete lattice framework made in the form of an one-sheet hyperboloid and constituted by intersecting inclined straight uprights consisting of individual elements. These elements are provided longitudinally with prestressed reinforcement strands anchored in the bands located at the points of maximum convergence of the adjacent uprights. The number of said uprights diminishes from tier to tier and the uprights constituting each corresponding tier except the 1st one, are a straight extension of a part of the uprights of the underlying tiers.