The mechanism is a set of mechanical components that are connected and can move relative to each other. If it can be used in space, it is called space mechanism. The space mechanisms are widely used in space missions. Many space missions have been failed due to malfunction of space mechanisms. This clears the importance in research and development of space mechanism. The deployable mechanisms are categorized based on geometry and performance. A variety of space deployable mechanisms are investigated and their advantages and limitations are introduced in this paper. All types of space mechanisms which have been used since the beginning of space travels are covered in this paper, hence this paper is a thorough review paper on this topic. This feature of paper, makes it unique in the field of information about new space mechanisms and usable in the country space industry.