The Omega Man: Pray for the Last Man Alive. Because He's Not Alone.
Biological weapons are used in a war between China and the Soviet Union which eradicates the entire world's population leaving only an American Army colonel, Dr. Robert Neville (Charlton Heston) and a new race of pasty, nocturnal mutants. Neville spends his days hunting down and killing these mutants and trying maintain his tentative grasp on sanity. He spends his nights fighting off these albino monsters as they besiege his fortified apartment in an attempt to capture him to stand trial for his crimes against their community they call "The Family." Eventually they succeed.
I don't want to give away too much in case you haven't seen the film, because it is worth watching. Here's the trailer for The Omega Man.