Forming tool comprising cooling duct bores branched within tool elements

The invention relates to a forming tool for hot forming, including a plurality of tool elements resting against one another and which define a forming surface, wherein the forming surface is embodied so as to be complementary to at least one section of a formed sheet component, which is to be produced by way of hot forming, and wherein the tool elements include cooling ducts in the form of bores which extend along the forming surface. At least two of the tool elements in each case include at least one cooling duct, which branches within the tool element into at least two cooling duct branches, wherein the bore axes of the cooling duct branches, which diverge or converge, respectively, extend along the forming surface. Through this, a generic forming tool is created, which provides for a high, uniform cooling capacity across a large forming surface.