We study the polarization anomaly of the Bd →φK*0 decay and the time-dependent CP asymmetry SφKS of the Bd →φKS decay in a Z′ model associated with flavor changing neutral currents at the tree level. We obtain the results of 0.0113<ξ<0.0127 and 0.0226<ξ<0.0255 for the two decay processes when setting ξLL=ξRL=ξLR=ξRR=ξ,ξLL=ξRL=ξ,and ξLR=ξRR=0,respectively. These results are consistent with the constraints and assumptions on the model parameters in some references. We study the polarization anomaly of the Bd → φK * 0 decay and the time-dependent CP asymmetry SφKS of the Bd → φKS decay in a Z ’model associated with flavor changing neutral currents at the tree level. We obtain the results of 0.0113 < ξ <0.0127 and 0.0226 <ξ <0.0255 for the two decay processes when setting ξLL = ξRL = ξLR = ξRR = ξ, ξLL = ξRL = ξ, and ξLR = ξRR = 0, respectively. These results are consistent with the constraints and assumptions on the model parameters in some references.