Today, micro fluidic devices offer the potential to automate a wide range of chemical and biological operations used for diagnostic and therapeutic applications. In the micro-fluidics, the micro-pump is an essential equipment to control the micro volume of fluid in scale of micro-liter , so the development of the micro-pump has recently received much attention.Many research work are being developed in the field of micro-fluidic devises, which are used in various fields such as biology, chemistry, and clinical medicine. In micro-fluidic applications, the most important elements is declared to the micro-pump. Micro pumps play a key role in these applications. Recently, the design and construction of micro pumps have been developed and various types of these pumps have been designed, and the most important challenges of these pumps are cost,, injection/suction accuracy, and the uniformity of movement. In this research, a syringe micro-pump is designed and manufactured. In addition, the kinematic algorithm of movement with constant acceleration is thoroughly explained. One of the achievements of this pump is high accuracy in injection and uniformity in movement, which creates a uniform flow in fluid injection.