Antibacterial compositions having antibacterial effectiveness and reduced eye irritation potential are disclosed. The antibacterial compositions contain a quaternary ammonium compound, an alkamine oxide, a nonionic compound, optional adjuvant materials known in the art, and water. The eye irritation is decreased by decreasing the amount, by weight, of alkamine oxide present in the composition and alternatively, or in combination therewith, increasing the ratio of nonionic material to alkamine oxide present in the composition.