On the basis of the parameterized form of the Fraedrich’s zero-dimension energy balance model, a stochastic model of global temperature variation is constructed, the solution of which is found to be a red noise process. The correspondence between the computed spectra by the model and the observed ones of annual mean temperature anomalies in the Northern Hemisphere from 1881 to 1980 is statistically examined.The result shows that the proposed stochastic model can be used to calculate the characteristic statistical features of temperature variation, such as mean values and variances, of the Northern Hemisphere.