This　review　summarizes　recent　researching　works　the　thermal　conductivity　of　Mg-Zn,　Mg-Al,　Mg-Mn　and　Mg-RE　alloys.　Solute　atoms,　heat　treatment,　deformation　and　temperature,　which　have　significant　influence　on　the　thermal　conductivity　of　magnesium　alloys,　are　highlighted.　For　an　individual　solute　atom,　its　effects　on　thermal　conductivity　are　highly　dependent　on　its　chemical　valence,　radius　and　extra-nuclear　electrons.　The　thermal　conductivity　of　Mg　alloys　is　decreased　by　solution　treatment,　but　improved　by　aging　and/or　annealing　treatments.　As　for　the　deformed　Mg　alloys,　the　thermal　conductivity　along　transverse　or　normal　direction　is　superior　to　that　of　along　extrusion　or　rolling　direction.　We　expect　this　review　is　helpful　for　those　who　are　working　on　developing　Mg　alloys　with　superior　thermal　conductivity.　(c)　2020　Published　by　Elsevier　B.V.　on　behalf　of　Chongqing　University.