The　thermal　consants　and　the　thermal　properties　of　the　Cu　doped　wurrite　type　ZnO　was　investigated　based　on　the　linear　response　density　perturbation　functional　theory.　The　results　showed　that　Cu　doping　could　cause　the　decrease　of　ZnO　oxide　unit　cell,　and　the　lattice　heat　capacity　increased　with　increasing　temperature　for　both　pure　ZnO　and　Cu　doped　ZnO　systems,　and　the　Cu　doped　system　had　larger　lattice　heat　capacity.　The　maximum　temperature　reached　to　69.1　J·mol-1·K-1　and　152.8　J·mol-1·K-1　respectively　for　pure　ZnO　and　the　Cu　doped　ZnO　at　900　K.　The　Debye　temperature　increased　with　increasing　temperature　for　both　systems,　and　the　Cu　doped　system　had　higher　Debye　temperature　value　than　that　of　the　pure　ZnO　system　below　175　K;　the　Debye　temperature　value　went　lower　than　that　of　the　pure　ZnO　system　above　175　K.　New　vibrational　modes　were　introduced　by　Cu　doping,　and　the　Cu　doped　ZnO　system　had　higher　lattice　thermal　conductivity.