Herein, we study the Heisenberg two-qubit XYZ chain in a z -directional non-uniform magnetic field by considering concurrence to be the entanglement metric. Further, we explore the properties of ground-state entanglement in different parameter ranges, calculate the critical magnetic field value, and discuss the relations between the average/critical magnetic fields and the quantum phase transition. We also analyze the interaction of the two adjacent qubits of the z -component J _z of the spin and investigate the influences of the anisotropy parameters γ _B and γ _J on the thermal entanglement of the Heisenberg model. The relations among the anisotropy, coupling parameter J _z , and thermal entanglement can be better illustrated by drawing images. The results denote that in a two-qubit system at an effective temperature T , the critical magnetic field B_c decreases and the entanglement gradually disappears as γ _J increases when the coupling parameter J _z is equal to 0. However, when the coupling parameter J _z is greater than 0, the ranges of magnetic field and temperature with the maximum degree of entanglement increase with increasing J _z for appropriate values of the anisotropy parameters γ _B and γ _J , effectively enhancing the entanglement.