The research showed that the probability density curve of residential trip distribution is very similar to the probability density curve of electron in ground state of hydrogen atom. The characteristics of residential trip distribution can be well described by the electron cloud model in quantum mechanics. In this paper a residential trip distribution model is built by simulating electron cloud according to the radial probability density function of electron in hydrogen atom. Then the model is validated by the sample survey data in Changchun city and San Francisco area. The application model is further put forward and its calibration method and process are given by using an example. The model can quantitatively describe the state of residential trip distribution in urban planning and urban traffic planning.