A method of constructing a tower is provided, the method including the steps of providing an elevation mechanism including a dynamic engaging mechanism realized to engage with a tower surface, arranging a 3D printing device on the elevation means, actuating the dynamic engaging mechanism to effect a vertical elevation of the elevation mechanism, actuating the 3D printing device to deposit an essentially horizontal material layer including at least a tower body region, and repeating the steps to obtain a tower structure. A tower constructed using such a method, and a 3D tower printing apparatus, is also provided.