The invention discloses a processing method of graphite heat conducting fins, using a group of male dies and female dies to clamp and press the graphite conduction plate to become the graphite heat conducting fins with specific contour exterior, and using holderups arranged between the male dies and the females dies, controlled to continue to press a first thickness to a scheduled second thicknessof the graphite heat conducting fins, thereby advancing density of the graphite and improving conduction efficiency. Furthermore, the bent graphite heat conducting fins are extruded, to reinforce theproblems of hard conduction at the loose bending. In addition, after the heat conducting fins are tabled on the surfaces of the graphite heat conducting fins, the graphite heat conducting fins are extruded again, causing the conducting fins more fixedly connected with the surfaces of the graphite heat conducting fins.