Solitons have been widely observed and applied across various fields, including physics, biology, astronomy, and information engineering. In liquid crystal materials, the mechanisms of soliton generation, stability conditions, manipulation methods, and potential applications have long been research hotspots of interest to scientists. This review provides an overview of recent advances in the control of non-topological and topological soliton motion in liquid crystals. It summarizes techniques for controlling the direction and speed of individual soliton using electrical, chemical, and optical methods, introduces the collective motion and self-assembly phenomena of solitons, and discusses the potential applications of soliton motion control in areas such as microparticle transport and beam steering. This work offers insights into further research on the control of soliton motion in liquid crystals and explores the potential applications of liquid crystal solitons in various fields, providing new possibilities for the study of liquid crystal solitons.