We have used a picosecond optical technique to measure the attenuation ␣ of longitudinal-acoustic phonons in several disordered solids. We find a universal ␣ϳ 2 behavior for frequencies up to 320 GHz and for temperatures between 80 and 300 K. Within this temperature range the phonon attenuation increases by a factor of between 2 and 3 with increasing temperature for the amorphous polymers poly͑methyl methacrylate͒, poly͑styrene͒, and poly͑ethyl methacrylate͒, and for the metallic glass TiNi. We discuss our results in relation to current theories of high-frequency vibrations in glasses and thermal conduction. ͓S0163-1829͑96͒04325-1͔