The evolutions of quantum entanglement and correlations between two qubits in a heat bath are comparatively studied. Numerical simulation results show that, although a heat bath can almost always induce the quantum entanglement and correlations between the qubits, their dynamical evolutions are not identical. During the interaction with the bath, the qubits get quantum entangled, and then the entanglement disappears gradually, and the qubits get quantum correlated beyond entanglement which can be maintained. In this sense, the quantum correlations are more robust against decoherence in comparison with quantum entanglement.