Abstract: In this paper, the authors have described the applications of Chebyshev polynomials in forecasting the geographical distribution of meteorological yields of maize crop in the Central-Northern region of Liaoning Province. By using Chebyshev polynomials on irregular grids and basing on 60 candidate predictors for atmospheric circulations 12 statistical equations were obtained. By means of these equation, the meteorological yields for thirteen stations in this region were forecasted. The results show that Chebyshev polynomials are applicable to regional forecasting of crop yields. We have also the opinion that Chebyshev polynomails can, be used in other fields of agrometeorological.forecasting (such as phenological stage, and pest forecastings).