An inelastic neutron scattering study was performed on a Zn-substituted spin-1/2 Heisenberg 2-leg ladder compound Sr(Cu1-xZnx)(2)O-3 (x less than or equal to 0.04) to investigate nonmagnetic impurity effects on the quantum spin system with a large spin gap of approximately similar to 400 It. The magnitude of the spin gap was found to be independent of Zn concentration, 33 meV, while the integrated magnetic scattering, which corresponds to the singlet-triplet excitation, decreased monotonically with increasing x. On account of the total-sum rule, this result supports the existence of a finite in-gap density of states at E = 0, which was suggested from the T-linear magnetic specific heat.