The grey meteorological interference factor GM(1,1) coupling model comes from the grey GM(1,1) model and the model of meteorological interference factor doubly-screening and stepwise regression and is applied to examine the 1977～1994 time sequence of cattle mortality rate for the Aba region in west Sichuan, along with a successful prediction for the 1993～1994 mortality in this region and the adjacent area of Guole, Qinghai.