Quantum nonlocal correlation is one of the most important characteristics to distinguish quantum mechanics from classical mechanics. Since it shows that two or more entangled particles will have a correlation with each other no matter how farapart they are. Quantum nonlocal correlation is the basis of quantum information technology such as quantum computing, quantumteleportation and quantum key distribution, so it is of great application signi?cance to test the quantum nonlocal correlation in thehierarchical environment. The Hardy-type paradox is an equation-free scheme for quantum nonlocal correlation testing, becausethe logic is no need for complex measurement in the experiment. Based on the Hardy-type paradox testing scheme, this paperstudies the quantum nonlocal correlation testing of qubit quantum pure state and mixed state in hierarchical environment.Firstly, the physical model of qubit in a hierarchical environment is given, and the evolution of the density matrix of thequantum states in the hierarchical environment is deduced. A highly successful probability testing scheme based on the Hardy-typeparadox for arbitrary quantum states is presented.Secondly, taking the qubit pure state as the object, the quantum nonlocal correlation testing is studied, when the ratio of κ/γ(i.e. the ratio of coupling strength between the quantum pure state and the cavity, and the coupling strength between the cavityand reservoir) is different. At the same time. Also, the in?uence of the quantum pure state on the quantum nonlocal correlationtesting in the evolution of Markovian and non-Markovian environments is given. The results show that with the increase of κ/γ, theevolution time of a successful nonlocal correlation test decreases. In addition, compared with the non-Markovian environment, theevolution of quantum states in the Markovian hierarchical environment is more conducive to maintaining the nonlocal correlationcharacteristics of quantum states.Finally, taking a hidden nonlocal quantum mixed state as the research object, the in?uence of mixing degree parameters andevolution time of the mixed state on the quantum nonlocal correlation testing in the hierarchical environment is studied. The resultsshow that the probability and evolution time of successful quantum nonlocal correlation testing will be signi?cantly reduced withthe decrease of parameter m. When m = 0.849, the lower limit of successful testing will be reached.The results of this paper can provide support for the experimental testing of quantum nonlocal correlation of qubit quantumstates in the hierarchical environment.