The influence of frequency content in earthquake wave on the torsional response of the single-story symmetric frame structure is studied in this paper. The dynamic equilibrium equation for the single-story symmetric frame structure subjected to earthquake wave passage excitation is given, and the relative motion method is adopted to solve the equation. The time-domain analytical solutions in series form to earthquake wave passage excitation are given for torsional responses. The peak column shears of the frame to wave passage excitation are respectively calculated for earthquake waves with sufficient and insufficient frequency content, and the influence of the frequency content on wave passage effect is analyzed. Studies show that the analytical solutions of column shears to wave passage excitation are not only related to the natural frequency and excitation frequency, but also related to the time delay and the square of the ratio of structural fundamental frequency to excitation frequency. The earthquake wave passage effect of frame structure is prone to occur for those earthquake waves whose main frequencies of earthquake acceleration amplitude spectra are lower than the structural fundamental frequency. There is not earthquake wave passage effect for those earthquake waves whose main frequencies are higher than the structural fundamental frequency. The earthquake wave passage effect of frame structure depends not only on the time delay, but also on the low-frequency content. The joint action of low-frequency content and time delay can produce the earthquake wave passage effect. The richer the low-frequency content, the more obvious wave passage effect.