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Among the 5d transition metal iridates, Sr₂IrO₄, which has a layered chalcogenide structure, has received much attention due to its strong spin–orbit coupling (SOC), which produces Mott insulating states and anomalous physical behaviors. In this paper, the microscopic magnetism of Sr₂IrO₄ is studied with electron spin resonance (ESR) measurements. The Lande factor <i>g</i> of the ferromagnetic resonance signal of Sr₂IrO₄ shows anomalous behavior compared to typical ferromagnets. It gradually decreases, and the corresponding resonance field <i>H</i>_r increases, with decreasing temperature. The various physical parameters. including the saturated magnetic field <i>H</i>_s derived from <i>M-H</i>, <i>H</i>_r, Δ<i>H</i>_pp, the <i>g</i> factor and the intensity <i>I</i> extracted from ESR spectra, are analyzed in detail. Eventually, it is revealed that the anomalous behavior of the <i>g</i>-factor is induced by in-plane Dzyaloshinsky–Moriya interaction (DMI) rather than the SOC effect.