Generalizing the quantifiers used to classify the nature of correlations in bipartite systems, I introduce a definition for genuine total, quantum, and classical correlations for states of three qubits. The measure is based on the use of relative entropy to quantify the ``distance'' between two density matrices. I shall show that, for pure tripartite states, both quantum and classical bipartite correlations obey a ladder ordering law fixed by two-body mutual informations, or, equivalently, by one-qubit entropies.