A ceramic circuit board for use in packaging an electronic element includes a ceramic-copper plate, and a heat-dissipating unit that is adapted for dissipating heat from the electronic element. The ceramic-copperplate includes a ceramic substrate that has opposite first and second surfaces, and a through-hole formed through the first and second surfaces, a top copper pattern that overlies the first surface of the ceramic substrate and that has at least two conducting portions spaced apart from each other, and a bottom copper layer that underlies the second surface of the ceramic substrate. The heat-dissipating unit includes a heat-dissipating layer that is disposed in the through-hole of the ceramic substrate above the bottom copper layer and that has a thermal conductivity larger than that of the ceramic substrate. A method of making the ceramic circuit board is also disclosed.