The key problem of the regional economic dynamics is the economic growth. As the resources shortage issue had not been fully realized,the binding force and the carrying capacity of resource to labor (population) and regional economiy were not taken into consideration in the classical theory of regional growth. Based on Rabenau and Miyao’s modern economic growth models, a dynamical regional growth model of ternary variables binding by resource, in which the labor, capital, environment capability and efficiency of management are taken as the regional growth elements, is set up in this paper. The analysis of equilibrium states shows that the regional economic growth ( Gross National Product) is proportional to two factors, one is the abundance degree of the resources and environment, the other is the summation of management efficiency, capital investment, science and technology, and labors. It is obvious that natural resource and environment instead of the granted capital, technology or labor are the bottleneck factors in the regional economic cask. In practi cal production, management, capital, technology and labors are compensatory and balanceable in the economic development while environmental resource is fatal.The results of the study by a series of analysis and numerical simulations s how: (1) The model can be used not only to simulate the different stages of regional growth, but also to discover the relations between the regional growth and the economic factors; (2) natural resource and environment instead of the granted capital, technology or labor are the bottleneck factors in the regional economic cask; and (3) the bearing capacity of environmental resources will play anim portant role in the social gross output value.