The basic aims of this paper are: firstly, to set up a nonlinear labour productivity growth model; and secondly, and secondly, to analyze the local stability of of labour productivity in agriculture according to the presented logistic growth model in the European Union countries in the period 1993-2005 (www.economgaic.com). A key hypothesis of this work is based on the idea that the coefficient π =1 + α (α means autonomous growth rate of labour productivity in agriculture) plays a crucial role in explaining labour productivity stability in agriculture.