A production method of a cordierite ceramic honeycomb structure is provided. 0.1 to 2% by weight of a nonionic polyether lubricant, obtained by adding ethylene oxide and propylene oxide to polyhydric alcohol with an ethylene oxide:propylene oxide ratio of 10:90 to 100:0 by weight, is added to the cordierite material batch for extruding. The honeycomb structure has a thin partition wall, and is suitable for the mass production by improving the formability (in particular, the lubricity and the shape stability) in extruding.