This　study　experimentally　investigated　the　wave　attenuation　coefficient　and　wave　number　of　the　heated　granite　after　water　cooling　(W-C)　and　air　cooling　(A-C)　treatments.　The　granite　specimens　heated　to　five　temperatures　(25　degrees　C,　100　degrees　C,　200　degrees　C,　300　degrees　C　and　400　degrees　C)　were　subjected　to　the　W-C　and　A-C　treatments,　respectively.　The　pendulum　impact　test　was　performed　on　the　cooled　granite　at　room　temperature　to　obtain　the　separated　stress　pulse.　The　wave　attenuation　ratio　in　the　cooled　granite　was　investigated.　Propagation　coefficients　(attenuation　coefficient　and　wave　number)　were　introduced　to　describe　the　harmonic　wave　attenuation　in　the　cooled　granite.　The　effects　of　W-C　and　A-C　treatments　on　the　attenuation　coefficient　and　wave　number　were　discussed.　The　results　show　that　the　P-wave　velocity　decreases　as　temperature　increases,　while　the　wave　attenuation　ratio　increases　as　temperature　increases.　The　P-wave　velocity　of　the　granite　after　the　W-C　treatment　is　smaller　than　that　of　the　granite　after　the　A-C　treatment.　The　wave　attenuation　ratio,　attenuation　coefficient　and　wave　number　of　the　stress　pulse　in　the　granite　after　the　W-C　treatment　are　larger　than　those　of　the　stress　pulse　in　the　granite　after　the　A-C　treatment.　The　differences　of　P-wave　velocity,　wave　attenuation　ratio,　attenuation　coefficient　and　wave　number　after　two　cooling　treatments　increase　as　temperature　increases.