In this paper, we give a random Solow Swan model based on the Solow Swan model. The Solow Swan model determines the level of labor force and the level of knowledge with a constant rate of change, that is, the growth is steady. This is no doubt that the whole society is homogeneous, and is not affected by any accidental factors.Therefore, it can only be used in general theoretical analysis, lack of practicality. But this does not accord with objective reality. Here, the dynamic evolution process is randomized. This model is more realistic than the established form. In this paper, we give some basic equations in stochastic sense, and prove that the economy can be relatively stable in the sense of stochastic. Finally, we can see that the economy can converge to the balanced growth path.

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