The main objective of the research work was to identify the dimensions of complexity and study the relationship between these defined dimensions in the industrial automation sector. To achieve these objectives in the study, there was assumed the following major hypothesis: With the increasing role of dynamic cross-section of the complexity there is growing importance of relationship dimension for competitive advantage. In the study there were diagnosed four dimensions of complexity. Existence of the relationship between these four identified dimensions of complexity occurred by the use of the Fisher’s exact test, which is a variant of the test of independence ��2. Furthermore, there were calculated V-Cramer factors to estimate the intensity of the above-mentioned relationship between analyzed dimensions. The research discovered that the three out of four dimensions such as the number of elements, variety of elements and uncertainty depend on the last dimension of complexity which is the relationship between elements. In the turbulent environment there is a growing importance of the relationship dimension. It forms competitive advantage and is a key condition of success in creating a new type of modern enterprise strategy that occurs within complexity management in the industrial automation sector.