The present invention relates to an elastic surface-wave device, and more particularly to an elastic surface-wave device of a greatly increased performance, compared with a prior art elastic surface-wave device, and which is compact. The elastic surface-wave device includes a substrate including a surface having a region which is formed by at least a part of a spherical surface and is circularly continuous, and a surface acoustic wave generator which is provided in the surface region of the substrate and generates surface acoustic waves propagating in a continuous direction of the surface region. The surface acoustic wave generator generates surface acoustic waves in such a manner these waves can propagate only in the continuous direction without being diffused in a direction crossing the continuous direction along the surface region.