In this paper,we study a problem of utility indifference pricing of stochastic income flows.Based on the assumption of exponential utility functions,we obtained the edplicit solution to utility prices of the stochastic income flows by solving Hamilton-Jacobi-Bellmen equation.Results indicate that the utility prices increase with the increase of the average return rates of stochastic earnings flows decrease with the rise of the risk aversion of investors,which are consistent with the intitions.