First-principles　calculations　were　utilized　to　study　the　anisotropic　in　terms　of　elasticity,　sound　velocity　and　minimum　thermal　conductivity　of　Al–Cu　intermetallic　compounds　(AlCu,　c-AlCu3,　o-AlCu3,　o-Al2Cu,　t-Al2Cu,　Al3Cu2　and　Al4Cu9).　There　was　good　agreement　between　our　calculated　lattice　constants　and　previous　experimental　and　theoretical　results.　The　compounds＇　anisotropy　of　elasticity　was　estimated.　They　had　different　anisotropic　elastic　properties.　The　anisotropy　in　sound　velocity　showed　that　the　faster　mixed　mode　(v+)　is　much　greater　than　that　of　slower　mixed　mode　(v-)　and　pure　transverse　mode　(vt)　for　AlCu　phase,　while　the　sound　velocity　of　pure　longitudinal　mode　(vl)　is　the　largest　in　cubic　phase　(c-AlCu3　and　Al4Cu9),　orthorhombic　phase　(o-AlCu3　and　o-Al2Cu)　and　tetragonal　phase　(t-Al2Cu).　The　calculated　minimum　thermal　conductivity　of　the　compounds　from　the　Clarke＇s　model　indicated　that　they　had　obvious　anisotropy.　©　2020