Fatigue　damage　will　be　generated　in　rock　foundation　or　slope　under　long-term　dynamic　loads.　The　rock　and　concrete　belong　to　brittle　materials.　The　attenuation　laws　for　fatigue　damage　of　rock　and　concrete　are　similar　to　certain　extent,　but　there　are　some　essential　differences　in　deformation　and　damage　of　rock　and　concrete.　Furthermore,　the　evolutionary　processes　for　the　fatigue　damage　of　rock　and　concrete　are　different　due　to　the　differences　of　weathering　degree,　components　and　their　contents.　The　histories　of　real-time　ultrasonic　wave　velocity　variations　of　sandstone　specimen　during　cyclic　compressive　loading　tests　are　researched.　Results　show　that　the　attenuation　of　the　transverse　ultrasonic　wave　velocity　follows　inverse　S-shaped　line,　which　can　be　divided　into　three　phases:　initial　fast　attenuation　phase,　steady　attenuation　phase　and　rapid　attenuation　close　to　failure.　The　durations　of　the　three　phases　are　about　10%,　85%　and　5%　of　fatigue　life,　respectively.　Comparing　with　concrete　materials,　the　attenuation　amplitude　of　the　ultrasonic　wave　velocity　at　the　end　of　the　second　stage　is　little,　and　the　cyclic　times　in　the　third　phase　are　less　in　particular　compared　with　fatigue　life.　A　damage　variable　is　defined　based　on　the　transverse　ultrasonic　wave　velocity　and　used　to　describe　the　growth　law　of　sandstones　fatigue　damage.　The　fatigue　tests　on　the　different　sandstones　indicate　that　the　transverse　ultrasonic　wave　velocities　of　the　sandstone　containing　gravel　and　siltstone　all　attenuate　obviously.　The　attenuation　speed　rates　of　the　transverse　ultrasonic　wave　velocity　of　the　slightly　weathered　sandstone　are　greater　evidently　than　that　of　the　strongly　weathered　sandstone　during　the　fatigue　damage.　The　results　may　offer　theoretical　references　for　the　fatigue　health　diagnosis　of　similar　rock　foundation　and　slope.