This study focused on simulation and analytical models of a multidimensional random walk of many agents. At each step, any agent can rotate by an arbitrary angle and continue moving in the direction selected. The analytical model used gives the probability of finding an agent in the circular area of the radius r$$ r $$ in the given time moment. The model includes parameters that control the intensity of the walking process and the characteristics of the environment. Work on this topic mainly concerns the discrete case of a random walk. In this article, we consider the case of a random walk continuous in spatial coordinates. We obtain certain theoretical results for the analytical model with the help of the mathematical apparatus aimed at working with a generalized translation. With the help of a simulation, we reveal the meaning of the analytical model's parameters. Results can be used for modeling diffusion‐like processes such as the spread of an epidemic, mechanical vibrations, forest fires, migration, and dissemination of information over a network.