The wind-induced response of a tall chimney can be divided into along-wind response and across-wind response, among which the along-wind response is mainly buffeting response caused by atmospheric pulsation and the across-wind response is mainly vortex-induced vibration caused by Karman vortex shedding. The two-dimensional plane wake oscillator model proposed by Tamura is further derived and successfully applied to three-dimensional structures. A finite element iterative calculation method for practical engineering structures is proposed, which provides a new field of vision for the calculation of the across-wind vortex-induced vibration response of structures such as towering chimneys. In addition, based on t the intrinsic mode coordinates of the structure, a finite element CQC method in frequency domain is developed for coupling buffeting response analysis of tall chimneys. The results in frequency domain are compared with those in time domain. The results show that the finite element iterative method can effectively calculate the vortex-vibration response of three-dimensional chimneys, and the chattering response of chimney structure calculated in frequency domain is in good agreement with that of the time-domain method.