The Bible has a passage that clearly prohibits tattoos. Leviticus 19:28 says, “You shall not make any gashes in your flesh for the dead or tattoo any marks upon you: I am the LORD.” Although this passage clearly prohibits tattoos, it does not give an explicit reason why. Some Christians believe that this passage is no longer relevant because it was part of the Old Testament law which was fulfilled by Jesus Christ and is no longer binding on believers.
I hope this helps. Let me know if you have any other questions.