Auditory-based brain-computer interface (BCI) technology is needed to provide a communication approach for patients with visual impairments. For above goal, this paper constructs one auditory-based BCI via auditory steady-state response (ASSR) in the case of three targets. In this paper, the ASSR is stimulated by the click sound of different frequencies, which are 38 Hz for left channel, 40 Hz for both left and right channels, and 42 Hz for right channel. During the experiment, the subjects are focused on the corresponding stimulus according to the prompt sound. Data from 11 subjects are analyzed by spectral analysis and canonical correlation analysis (CCA). The Analysis result is any one of the three stimuli can evoke stable ASSR, and the ASSR is strongest at the frequency of 40 Hz. Using CCA for three classifications, the information transmission rate reaches the highest value of 4.74 bits/min and the average classification accuracy rate is 80.79% when the data length is 3 s. This study paradigm provides an opportunity for the ASSR to construct an auditory BCI.