The origin of T c suppression due to substitution of rare-earth elements (R) is investigated for the samples of ͑La 1Ϫx R x ͒ 1.82 Sr 0.18 CuO 4 , ͑RϭEu,Nd,Pr͒ through the measurements of electrical resistivity and lattice parameters. With increasing x, three phases, T, T*, and TЈ appear successively and the critical concentration for disappearance of superconductivity exists in the T-phase region, each of which is xϭ0.12, 0.4, and 0.6 for RϭEu, Nd, and Pr, respectively, indicating that the smaller the ionic radius of the substituted R element, the stronger the T c suppression. Temperature dependence of the conductivity is described by ϰlnT above xϭ0.08 and 0.1 for RϭEu and Nd, respectively, but not for RϭPr. The origin of T c suppression is discussed in terms of two contributions; the reduction of the Madelung site potential at apical oxygen sites and the random potential scattering on the CuO 2 planes which is effective for pair breaking in d-wave superconductors, both of which are caused by displacement of apical oxygens due to substitution of R elements.