The light wave propagation in quasiperiodic one-dimensional photonic crystals with the doped defect and the substitutional defect is studied by means of the transfer-matrix method. The results show that defect modes appear in the bandgaps of this kind of quasiperiodic one-dimensional photonic crystals with defect, similar to the traditional periodic structure photonic crystals with defect. The defect modes caused by the doped defect and the substitutional defect are similar to each other. The defect modes broaden the bandgaps and the characteristics of defect modes are greatly related with the position and optical thickness of the defect. The wavelength of defect modes shifts in the direction of long-wavelength with increasing of the optical thickness of the defect layer.