You were born to two Italian parents and you are registered in Italy does this make you an Italian citizen?

I'm unsure what you mean by "registered" in Italy. If you were born in Italy naturally you would certainly be a citizen. If you were born out side of Italy you could apply for Italian citizenship. If I had to guess I would say you are probably not a citizen of Italy right now, but it should be fairly simple (assuming you are currently living in a country that allows dual citizenship, like the USA) to become an Italian citizen. You could contact your nearest Italian consulate to find out if you are a citizen (explain your situation) or to become a citizen. From my understanding since both of your parents were citizens you would be able to become a citizen (as long as you had one great-grandfather who was a citizen you can apply for citizenship).