Future headquarter of an insurance company, the Allianz Tower is a 202m high, 52-storey building currently topped out and belonging to the large CityLife development in Milan, Italy. The architectural design concept, by Arata Isozaki, is that of a slender, streamlined machine-building, with exposed structural and functional systems. The very significant slenderness and the intrinsic damping properties of the Tower make lateral and torsional response due to wind actions not negligible for structural analysis and occupant comfort. To mitigate these effects eight external viscous dampers were designed,and located at the base of four steel "struts", stemming out of the surrounding plaza and podium at the base of the tower and connected to its main cores at the 11th floor. The design of the dampers and of the struts required refined analyses to be carried out. At the end of construction, two sets of Operational Modal Analysis (OMA) tests were carried out on the building, with and without dampers, to validate the design and construction process. Moreover, given the importance of the building, the Tower was equipped with a state-of-the-art continuous monitoring system acquiring data on all of the relevant structural and functional parts, including the dampers. The present paper will present the main structural features of the Tower, the main features of the design of the damping devices for wind comfort, the test set up for the dynamic OMA tests, followed by a discussion of their results.