In this work, a study of the rising movement of single gas bubble in non- Newtonian fluid is performed, in order to simulate the behavior of a gas bubble in a cement paste during oil well cementing. The fluid is modeled as a non- Newtonian fluid type Hershchel-bulkley with varying rheology in the time. The particle immersed in the fluid is not necessarily gaseous, it also could be liquid or solid, with some restrictions for each case. To develop the mathematical model, it was done a dynamic analysis of the spherical particle immersed in the fluid, and also, using the Ansley and Plesley’s equations (1967), was finished the model. The equation systems was solved using a low order numerical method of Runge Kutta. The numerical model was implemented using Matlab program of the Mathworks Company. The calculations were made for spherical bubble, low Reynolds number (less than 3), constant temperature, wall effect neglected and without effect population.The model was validated comparing the numerical data with experimental results of multiple authors. Experimental data was consulted of Raymond and Rosant (2000), Hervé Tabuteau (2007) and Neville Dubash (2003) authors. It was analyzed the bubble mass effect and the surface tension of the liquid-gas interface in the kinematic particle, to define under what conditions it is possible to neglected its effects. Finally,the effects of rheological parameters on particle kinematics was analized. furthermore, the dependence of the rheology in the time to determine the bubble displacement process in the curing cement was analized.