The work aims to overview the research progress on vibration and noise characteristics of printing presses and their diagnosis. Literature research was conducted to understand the current academic cognition on vibration and noise characteristics of printing presses, including the noise hazard of printing enterprises, the structural vibration characteristics of printing presses, the noise radiation of printing presses, and the fault diagnosis of printing presses based on structural vibration and noise radiation. Its development prospect was also outlined. According to the review, it was found that current researches on structure and acoustic radiation of printing presses were still at a relatively preliminary stage. There was still a lack of systematic analysis on acoustic vibration characteristics of printing presses. Furthermore, research on noise reduction technology for printing presses has hardly started. Thus the review could help researchers better understand and carry out the research on noise reduction technology and noise based fault diagnosis technology of printing presses. The research and analysis on the mechanism of noise and vibration of printing machine structure has high academic significance and application value. It has the potentials to become the basis for noise reduction technology and fault diagnosis technology of printing presses.