At present, the broadcast of PM2.5 can't be accurate to all the spot of the city. This paper discusses a new method to draw the distribution of PM2.5 of a city by using mass data provided by the monitoring stations, which can be accurate to all the spot. In order to solve the problem efficiently, we present modified Gauss plume model. In the proposed model, firstly, for the accuracy of the model, we put forward a new method to calculate the wind direction. In addition, through the geometric inversion of the wind direction, the pollution source can be found. Moreover, in order to simulate the real situation, we replace the normal distribution by chi square distribution in Gauss plume model. Finally, the whole distribution of PM2.5 of the city can be draw. The PM2.5 distribution of Beijing in 2014 March indicates the proposed model is effective and feasible.