A method for providing to a mammal a neuroprotective effect against a brain pathology that is mediated by reactive oxygen species originating from mitochondria (mROS), wherein the brain pathology is selected from the group consisting of alcohol intoxication, hyperhomocysteinemia, and brain trauma, the method comprising the step of administering to the mammal an SkQ mitochondria-targeted antioxidant in an amount effective to provide said neuroprotective effect, wherein the SkQ mitochondria-targeted antioxidant is administered either prophylactically to inhibit the course of the pathology or for treatment of the pathology after its onset with the exception that, where the pathology is brain trauma, the SkQ mitochondria-targeted antioxidant is administered only for treatment after onset of the pathology.