Composition of matter for application to a body surface or membrane to administer fluoxetine by permeation through the body surface or membrane, the composition comprising fluoxetine to be administered, at a therapeutically effective rate, alone or in combination with a permeation enhancer or mixture. A preferred embodiment is directed to the transdermal administration of fluoxetine at reduced skin irritation levels wherein fluoxetine, preferably provided as fluoxetine acetate, is coadministered with a corticosteroid such as hydrocortisone. Also disclosed are drug delivery devices containing the fluoxetine or fluoxetine and enhancer composition and methods for the transdermal administration of the fluoxetine and fluoxetine/enhancer composition.