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We collect a sample of 381(271 type Ⅰ)active galactic nuclei(AGNs)with XMM-Newton observations for an analysis of the dependence of Fe Kα profiles on redshifts to test the potential cosmological evolution of spins of supermassive black holes(SMBHs).The sample spans a redshift range of z = 0.0008-4.76,which allows us to rebin the sample into 7 redshift groups.Phenomenological analysis of the Fe profile suggested that the line width(σ)of the narrow or broad Fe line does not show significant changes in redshift range z < 0.3.Using a physical model,we significantly detect a narrow Fe Kα line at 6.4 keV with an average equivalent width(EW)= 160 eV except for the two largest redshift bins.The EW of the Fe line does not show significant changes.We also find a relativistic broad line in three redshift bins(z < 0.116,0.056 < z < 0.12 and 0.12 < z < 0.3)with an average EW = 522eV.