A nasal dilator capable of introducing separating stresses in nasal outer wall tissues has a truss of a single body with a resilient member secured therein and a pair of spaced-apart end surfaces which, when forced toward one another from initial positions to substantially reduce direct spacing therebetween by a spacing reducing force external to said truss, results in restoring forces in the truss tending to return to the original direct spacing between the end surfaces. A resilient member, which is symmetrical with respect to a centerline of the truss that is perpendicular to the long axis of the truss, has a spring rate which continuously diminishes from the centerline to the end surfaces. An adhesive on the end surfaces adhesively engages exposed surfaces of nasal outer wall tissues sufficiently to keep the truss attached to the nasal wall surfaces while subjecting them to the restoring forces.