Leviticus 19:28 says, 'You shall not make any cuttings in your flesh for the dead, nor tattoo any marks on you: I am the LORD.' This verse may or may not specifically pertain to the modern practice of body piercing. But it does suggest the general principle that God does not want His people to mutilate themselves for some vain purpose.
Jesus was pierced as He hung upon the cross paying the debt for our sins. To have our own body pierced for pure vanity makes a mockery of the sufferings of Christ. Body piercing originated in ancient pagan societies. In the modern world, the practice comes primarily from the Hindus in India.
The Bible tells us that we are to glorify God in our body and our spirit (1 Corinthians 6:20). We therefore believe that Christians should not engage in this practice, and if they are already pierced, should remove the object and allow the hole to heal over.