What does it mean when a boy says he owns you?

Answer 1

He wants to be your boyfriend and he is yours forever.

He may mean that he thinks of you as his slave or his property to be disposed of as he wishes.

It means that it is time to find another boy friend.

Answer 2

If a boy says he "owns" you, it is a disrespectful and possessive statement suggesting he wants to control or dominate you. It is not a healthy or respectful way to communicate in a relationship.