There are currently no federal laws in the United States which ban cloning completely, and any such laws would raise difficult constitutional questions similar to the issues raised by abortion.There is also no federal law prohibiting reproductive cloning.
Fifteen American states (Arkansas, California, Connecticut, Iowa, Indiana, Massachusetts, Maryland, Michigan, North Dakota, New Jersey, Rhode Island, South Dakota, Florida, Georgia, and Virginia) ban reproductive cloning and three states (Arizona, Maryland, and Missouri) prohibit use of public funds for such activities.
Clones already exist. About one in every 1,000 births results in a pair of babies with the same DNA. We know them as identical twins. Scientific studies on such twins--reared together or apart--show that they share many characteristics. Just how many they share is a contentious topic in human biology. But genetic determinism is largely irrelevant to the cloning issue. Despite how many or how few individual characteristics twins--or other clones--have in common, they are different people in the most fundamental sense. They have their own identities, their own thoughts, and their own rights. Should you be confused on this point, just ask a twin.
Where it is banned the reasons are multiple and quite obvious. Basically it boils down to fear of the known and unknown possibilities of having such a capability to be used at the whim of any human being who can afford it and possibly use it without respect for a clone's innate individuality.
I think rather than ban cloning the responsible thing to do is to regulate it just like we regulate abortion, guns and any other perceived rights afforded by, sadly not the actual constitution, but the Supreme court which has Justices with political agendas who create law despite what the constitution which they are sworn to uphold says.