We propose to find the model of relationship between Transformational Leadership and university management. The Inventory of Leadership Practices form was used (LPI) and an University Management (UG) scale, which consists of four dimensions: Research , Teaching, Extension and Support , which were applied to managers of 31 universities in Colombia.For method for identifying the relationship model between global indicator university management and dimensions associated with transformational leadership a multiple regression model was developed, furthermore, in order to eliminate subjectivities we utilized the transformation test of ordinal scales in a new scale Type Ridit until reaching the results.Among the main findings, we find that there is a model of direct and positive relationship between the Transformational Leadership and the University Management, and that the Enabling dimension to act in Transformational Leadership is the one which has the greatest impact in the management.