Poor expertise in equipment operation and installation, coupled with unpredictable natural disaster, usually directly leads to disastrous accidents of large lifting equipment such as tower cranes. For example, 52 tower cranes fell down due to the unstable support in Korea at the attack of Typhoon "Maemi" in 2003, which damaged property and caused loss of life. In high-rise construction projects, top-slewing or luffing-jib tower cranes needs checking the stability of lateral-support in addition to the bottom support such as the foundation. In this study, the optimization algorithm for lateral-support of tower cranes is conducted, which is expected to enhance the structural stability of tower cranes and save the cost in conflict with the safety.