In the field of engineering vibration measurement, the vibration measurement method based on machine vision is a commonly used technical means in recent years. For small amplitude vibrations, visual measurement methods relying on traditional image processing algorithms are difficult to measure accurately. To solve this problem, a machine vision-based motion magnification method was proposed. It achieves more accurate motion information measurement by amplifying the tiny motion that is difficult to detect by the human eye and combining with the image motion extraction method. First, this paper summarizes the commonly used machine vision-based vibration measurement methods, focusing on the detailed introduction of machine vision-based motion magnification technology. Motion magnification methods include Lagrangian magnification approach and Eulerian magnification approach. The origin of both motion magnification methods is introduced. The two technologies’ feature are analyzed and compared. Then the various improvement methods of Euler magnification techniques are introduced in detail, including the characteristics and limitations. Finally, the development prospects of small amplitude vibrations measurement technology based on Euler motion magnification are discussed.