By virtue of non adiabatic thermodynamic and the moisture balance equations of the atmosphere, a mathematical model is presented for the short range climate, which is composed of difference-integration equations with variables: surface temperature, precipitation and height at 500 hPa, on the basis of the self-memorization principle of the atmosphere. The memorial coefficients in the model are estimated by utilizing the meteorological data in summer (June, July, August)in 1951 to 1985. This model was used to give the hindcasts of the temperature and precipitation in summer for the lead time 1986 to 1992.