Floating construction comprising: a flotation base including at least one essentially hollow body selectively fillable with ballast, where the maximum horizontal dimension of the flotation base is greater than the maximum vertical dimension of the flotation base; a building supported by said flotation base, comprising preferably a telescopic tower; downward impelling means; and at least three retaining cables, the corresponding upper ends thereof being attached to said flotation base, preferably at peripheral positions of the flotation base, and the corresponding lower ends thereof being attached to said downward impelling means, such that said retaining cables are tensioned and exert on said flotation base a downward force that increases the stability of the floating construction. And the installation method for this floating construction.
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