The invention relates to a combination of compounds for treating skin diseases and particularly rosacea and ocular rosacea. It is the combination of a compound selected from azelaic acid and salts thereof with a compound of the alpha-1 or alpha-2 adrenergic receptor agonist family. The invention also relates to a product in the form of a kit containing: (a) a first composition comprising a compound selected from azelaic acid and salts thereof, and (b) a second composition different from the first one and comprising a compound of the alpha-1 or alpha-2 adrenergic receptor agonist family, as a combination product for application thereof as a medicament for treating and/or preventing skin diseases and in particular rosacea and ocular rosacea, wherein said first and second compositions can be applied simultaneously, separately or with a time delay.