An anemometer tower is essential for the construction of an offshore wind farm. A anemometer tower is preliminarily designed in the Bohai Bay in the north coast of China. Considering the extreme wind and wave or extreme wind and ice, at different directions, the structure of the tower is simulated by using finite element software. And the stresses and strains of the structure are calculated at the different loadcases. And then, the structure of tower can be designed using the numerical data. And finally, the dynamic characteristics of modal shape and frequencies are also discussed.