The attenuation of elastic surface waves in thin films (about 1000 Å) of the superconductors, In and Pb, at a frequency of 316 MHz has been measured as a function of temperature below the critical temperature. There is no steep-falling character of ( αs αn) at Tc although a surface wave generates also a shear strain in the films. The temperature dependence of ( αs αn) appears to follow roughly the expectation of the BCS theory for longitudinal waves. © 1969.