Tobradex Ointment 1 Tube 3.5gr Generic Name: tobramycin and dexamethasone ophthalmic (toe bra MY sin/dex a METH a sone) Brand Names: Tobradex What is tobramycin and dexamethasone ophthalmic? Tobramycin is an antibiotic. It is used to treat bacterial infections. Dexamethasone is a steroid. Dexamethasone ophthalmic is used to treat the swelling associated with bacterial infections of the eye. Tobramycin and dexamethasone ophthalmic is used to treat bacterial infections of the eyes. Tobramycin and dexamethasone ophthalmic may also be used for purposes other than those listed in this medication guide.