At the moment endogenous growth theory has become increasingly popular in the world of science, particularly in developed countries. This article aims to show, for two regions case, the needs and sense of applying this theory in the polish regions. Due to the low level of economic development of many Polish regions, they are unable to growth in a comparable rate as regions in developed countries. This explains the economic divergence between polish regions and the highly developed regions of Europe and the World. Stimulating economic growth is insufficient in such cases, because of the weakness of its internal factors. Therefore it is important to strengthen an external impact to keep internal development. It means that the endogenous growth theory is no reason to exist, in conditions of poor polish regions. Without external inputs there can't be convergences processes. Therefore, the economic development of the Polish regions should be based on the exogenous growth theory.