A pharmaceutical or veterinary composition, comprises a first active agent selected from a dehydroepiandrosterone and/or dehydroepiandrosterone-sulf- ate, or a salt thereof, and a second active agent comprising a glucocorticosteroid for the treatment of asthma, chronic obstructive pulmonary disease, allergic rhinitis, or any other respiratory disease. The composition is provided in various formulations and in the form of a kit. The products of this patent are applied to the prophylaxis and treatment of asthma, chronic obstructive pulmonary disease, or any other respiratory disease.