Visit North Cyprus, if you consider traveling for your holiday to Turkish Republic of Northern Cyprus, you can reach it either by air or by sea.
ou may rent a car in the South and cross over to the North. On the other hand, when you rent a car in the North, you are not allowed to cross over the south. Only personally owned cars can cross over to the South (basically a car that is not a rental car or displaying the rental licence plates which are red). For your connivance there are also rental agencies near the crossing points so you may rent a car once you cross over. However, please note that insurance purchased from one side is not applicable to the other. So when you cross you will need to purchase insurance if you plan to drive on the other side.