The present invention relates to novel N-sulfamoyl-N'-benzopyranpiperidines of general formula (I) and their physiologically acceptable acid addition salts, to pharmaceutical compositions comprising them, processes for their preparation, and their use for the prophylaxis and/or treatment and/or prevention and/or inhibition of glaucoma, epilepsy, bipolar disorders, migraine, neuropathic pain, obesity, type II diabetes, metabolic syndrome, alcohol dependence, and/or cancer, and its concomitant and/or secondary diseases or conditions.