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[en] The dynamical entanglement of two spin-qubits coupled to an XY spin-chain with a three-site interaction environment is studied. The dynamical process of disentanglement is numerically and analytically investigated. In the strong-coupling region, the three-site interaction can dramatically accelerate the decay of the entanglement between the two spin-qubits. However, in the weak-coupling region, the role of this interaction in the process of disentanglement depends on the strength of the three-site interaction; for example, in some specific intervals, this interaction can remarkably delay the process of disentanglement.