Yes, penicillin can help control the infection and inflammation of bacterial conjunctivitis. Penicillin is a widely used antibiotics medication, which is the first drug in the world that could effectively fight against bacteria. There are three types of conjunctivitis, bacterial, viral and allergic conjunctivitis. As to allergy triggered conjunctivitis, what you should do is get away from irritant. Once the allergen is removed and the allergy is treated, your pink eye could get much better without any other treatment. As to viral conjunctivitis, use salt solution to wash your eye is enough. As to bacteria conjunctivitis, you could apply some penicillin ophthalmic ointment to help relieve the pain, redness and discharge. Don't wear contact lenses when you have conjunctivitis, which could make the condition even worse.