A method for producing a die for molding a ceramic honeycomb structure, which has molding grooves arranged in a lattice pattern and apertures communicating with the molding grooves for supplying a moldable material, wherein the formation of the lattice-patterned grooves by machining is conducted by a first machining operation for forming pluralities of first parallel grooves, and a second machining operation for forming second grooves crossing the first grooves; wherein the first and second machining operations are conducted by at least 2 passes of grinding or cutting using a rotating tool; and wherein the second machining operation is conducted by up-cutting in the second pass or later, and a method for producing a ceramic honeycomb structure using such a die.