Although the traditional 1064 nm frequency-stabilized laser can achieve high frequency stability and uncertainty, its volume is relatively large and the system design is more complicated. For some practical applications where the laser frequency stability is not critical, such as hyperspectral resolution aerosol detection laser radar, the simplicity and volume reduction of the system become more of a concern. A miniaturized compact 1064 nm frequency-stabilized laser is built by using iodine molecule absorption lines combined with frequency modulation spectroscopy technology. The system has compact structure. By monitoring with a high stable wavemeter, the accuracy of Allan deviations is less than 0.1 MHz at 10000 s. The frequency-stabilized 1064 nm laser system has been used as a seeder laser for a single-frequency pulsed light source of the hyperspectral aerosol detection laser radar.