Based on the fundamental concepts of space-time structure, the motion of particles is discussed in this chapter. To deal with objects moving in the Euclidean space, Euclidean geometry and the associated vector and tensor spaces are described. In particular, the notion of dyadics is introduced which shall be used frequently in later development. After the description of kinematics, Newton’s laws for dynamics are reviewed, from which the equations of motion are established for either a single particle or a system of particles. Due to the reason that it may be necessary to describe the motion in different coordinate systems, the coordinate transformation and the associated dyadic are introduced. The concepts of Coriolis force and centrifugal force are then formulated, which can be used to explain the phenomena of Fault pendulum and hurricane. Finally, two fundamental forces, the universal gravitational force and the electromagnetic force, are described.