Abstract: Under strong wind loading, super high-rise buildings are prone to complex lateral-torsional coupled wind vibrations, which will cause the floor acceleration to excess the requirements that ensure inhabitant comfort. To solve this problem, this study proposes a lateral-torsional weighted optimal control (LTWOC) algorithm, based on an active tuned mass damper (ATMD) and a linear quadratic regulator (LQR). One four-degrees-of-freedom reduced order dynamic model is built in the LTWOC and the calculation formulas for the related parameters as well as the algorithm steps are provided. Based on the LTWOC, a user subroutine UAMP is developed on ABAQUS and tested by a real engineering case with a length-width ratio of 6.6. The research results indicate that the LTWOC proposed can effectively reduce the lateral and torsional response of the structure with large length-width ratio under wind-induced vibrations. The maximum acceleration reduction rate in the example is as high as 46%.