Abstract: Suspension of solid particle in non-Newtonian fluid has a wide range of applications, and its special flow properties make it the core breakthrough point in some new technology fields. Meanwhile, the flow is more complex. Even in the case of low particle concentration, the characteristics of non-Newtonian fluid have an important influence on the microstructure of the whole system, which further affects the movement of solid particles. In this paper, the non-Newtonian fluid equation, particle motion equation and characteristic parameter of suspension of solid particle in non-Newtonian fluid are given, and the effect of these parameters is analyzed. The research findings, result analysis and open questions of some topics including the radial motion of single solid particle in a pipe, the interaction and aggregation of multi-particles, the chain structure formed by multi-particles, and motion of non-spherical particles are related. Finally, the topics mentioned above are summarized and prospected, and the concrete problems and contents that need to be studied deeply are given, which is aimed at providing references and basis for further research.