N-sulfamoyl-N'-benzopyranpiperidine compounds of formula I and their physiologically acceptable acid addition salts, pharmaceutical compositions comprising them, processes for their preparation, and their use for the treatment and/or inhibition of glaucoma, epilepsy, bipolar disorders, migraine, neuropathic pain, obesity, type II diabetes, metabolic syndrome, alcohol dependence, and/or cancer, and related concomitant and/or secondary diseases or conditions.