This study analyzes the relationship between supervisors’ leadership styles and subordinates’ experience of burnout. We tested relationships between transformational, transactional and non leadership styles and facets of burnout (i.e., emotional exhaustion, depersonalization and reduced personal accomplishment), using the Bass and Avolio and Maslach Models, while controlling for subordinates’ demographics and hierarchical level. We applied the MLQ and MBI questionnaires to a sample of 102 employees in a Mexican Public Hospital to Doctors and Nurses. Our Structural Equations Models determined that inverse significant correlations were found between the different leadership subscales and burnout, excepting with those of the Laissez Faire, being positive. The theoretical and empirical findings of previous studies of the Model of Bass and Avolio, as well as of the Model of Maslach were reaffirmed; the subscale of depersonalization was eliminated. The reliability coefficients Alpha of Cronbach were higher than, 70 in all the variables.