The impact of acoustic design of teaching spaces in higher education on music performance has been increasingly emphasized, especially in the field of music education and performance. Traditional acoustic design often neglects the issue of sound source optimization, which affects the quality of performance. This paper discusses the support of college teaching space design on music performance from the perspective of building acoustic optimization. By studying the acoustic environments of different teaching spaces, the influence of noise control, reverberation time, sound field distribution and other factors on the effect of music performance is analyzed. Acoustic evaluation parameters such as early sound support (ST) were used to optimize the acoustic design in combination with the actual case of a multimedia classroom in University H. The acoustic design of the multimedia classroom in University H was optimized. The study shows that the volume of the teaching space is negatively correlated with the early acoustic support, and the optimal support value is between -14.5dB and -12.8dB. Meanwhile, the improved anechoic design of the air-conditioning system effectively reduces the interference of airconditioning noise on sound quality. The experimental results show that the mean value of the subjective scores of the sound quality of the optimized teaching space exceeds 8 points and reaches the good standard, indicating that the optimized design effectively improves the sound quality of the music performance. This study provides theoretical basis and practical guidance for the acoustic optimization of teaching space in colleges and universities.