We report a zero-field Cu nuclear quadrupole resonance (NQR) study on the effects of nonmagnetic Sr substitution for high-Tc superconductors, Y(Ba1−xSrx)2Cu4O8 (Tc=82-80 K for x=0-0.4), using a spin-echo technique. The site-disordering and chemical pressure effects associated with doping Sr were observed in the broadened, shifted Cu NQR spectra. Nevertheless, the site disorder did not significantly affect the homogeneity of Cu electron spin dynamics, in contrast to the in-plane impurity. The peak shift of Cu NQR spectrum due to Sr was different between the chain-and the plane-Cu sites, more remarkably than those under a hydrostatic physical pressure, suggesting anisotropic or nonuniform local structural strains. The small decrease of Tc due to Sr can be traced back to either a cancellation effect on Tc between the disorder and the pressure, or an anisotropic or nonuniform chemical pressure effect on Tc. The role of imperfections in quantum many-body systems has attracted strong attention [1,2]. In high-T c cuprate superconductors, an additional impurity potential is introduced through the in-plane or out-of-plane element substitution for the CuO 2 plane. There is a belief that site disorder does not cause serious damage to the electronic states of the CuO 2 plane. However, the reason why chemical pressure effect on T c due to the element substitution is not the same as the physical (external) pressure one has been frequently ascribed to the randomness effect. How the site disorder changes the electronic states has been a problem.Here, we focus on the divalent Sr 2+ -doped high-T c superconductors, Y(Ba 1−x Sr x ) 2 Cu 4 O 8 . Since the stoichiometric and naturally underdoped YBa 2 Cu 4 O 8 (Y124) with T c =82 K has the exceptionally tight oxygen content, the Sr-doped Y124 is a suitable system to study the site-disordering effect on the electronic states. To be exact, one can expect two effects of Sr substitution for Ba in Y124 without change of oxygen content; (1) the chemical pressure and (2) the crystalline potential disorder. The substitution of Sr 2+ ions causes no additional local (formal) charge in Ba 2+ O 2− layers. However, the size of Sr 2+ ion is smaller than that of Ba 2+ by about 10 % [3], so that the substituted Sr ions make local crystalline strains on the BaO layers. Thus, the Sr doping introduces crystalline potential disorder and chemical pressure to the lattice. Actually, the lattice constants shrink with doping Sr [4], being in parallel to the physical pressure effect [5].The effect of hydrostatic physical pressure on the spin dynamics is similar to the carrier doping effect [6][7][8]:The physical pressure effects on T c and on the pseudo spin-gap temperature T s agree with the carrier doping effects, i.e. with applying the physical pressure to Y124 (T c =82 K and T s ∼160 K at an ambient pressure P =0