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The electron paramagnetic resonance (EPR) of the Eu2+ ion in SrCl2:Eu single crystal has been investigated using an X-band spectrometer. The angular dependence of magnetic resonance positions for the Eu2+ impurity ion in the crystallographic aa-plane is analyzed with effective spin-Hamiltonian. The EPR spectra of the isolated Eu2+ center merged to each other. The hyperfine splitting of the isolated Eu2+ center due to the 151Eu nucleus is approximately 35 G. Three kinds of Eu2+ centers except the isolated Eu2+ center, Eu2+ pairs, Eu2+ triples, and other Eu2+ clusters, are split from the fitting of the integrated experimental spectrum with the Gaussian curve. The calculated spectroscopic splitting parameters of the Eu2+ pairs, Eu2+ triples, and other Eu2+ clusters in SrCl2:Eu crystal are g1 = 2.06, g2 = 1.94, and g3 = 1.93, respectively.