A lot of new concepts, ideas and innovation in high altitude and space towers were offered, developed and researched in last years especially after 2000. For example: optimal solid space towers, inflatable space towers (include optimal space tower), circle and centrifugal space towers, kinetic space towers, electrostatic space towers, electromagnetic space towers, and so on. Given book summarizes there researches and gives the detail description them, note some their main advantages, shortcomings, defects and limitations.