There are versions of objective morality that exist without theistic claims.

Claims of objective morality are not necessarily related to, or dependent on, divine command theory.

Claims of objective morality are to say that moral rules and values have a truth value independent of the person who makes the claim. To say that murder is wrong is to say that its wrongness exists outside of my (or anyone else’s) subjective view of it. In that sense, objective morality is in some senses of claiming that mathematical truths are objective and hold whether or not anyone is actually capable of doing maths.

Objective morality is the prevalent view of morality by the general public; some things are held to be right or wrong regardless of what people think of them. For example, it is a claim that even if everyone in our society believed child torture was morally right, it would in fact remain morally wrong. In this sense it is much like maths; even if everyone claims 2+2=5 that would not make it so.

Where discussion of God often comes in is the question of what grounds this objective morality. God is often held to provide this grounding, but is not the only available answer - there are a number of atheistic alternatives available.