We performed a muon spin relaxation (μSR) study of a lightly hole-doped (K) and electron-doped (La) doped Sr 2 IrO 4 system. In the electron doping case, the fraction of long-range order is approximately 10%, and the effective Ir moment was 0.053 μ B , which is substantially smaller than that of Sr 2 IrO 4 (0.4 μ B). However, the ZF-μSR time spectra of hole-doped Sr 1.955 K 0.045 IrO 4 exhibit a clear sinusoidal oscillation below T N (= 224 K), and the muon spin precession frequency f is almost the same as that of Sr 2 IrO 4. Moreover, a reduction of the asymmetries of oscillation was observed at temperatures below 150 K. The reduction likely originates from the ordered magnetic moment at the apical oxygen, suggesting that hole carriers were introduced into the apical oxygen.