There is disclosed a method of manufacturing a ceramic honeycomb structure, which is capable of controlling a length of slurry pressed into each cell of the honeycomb structure when predetermined cells are plugged at an end surface of the honeycomb structure. A film 4 is attached to an end surface of the honeycomb structure 1. Holes 3a, 3b through the film 4 are made at a position corresponding to openings of predetermined cells 2a, 2b. The end surface is immersed into slurry 6 stored in a container 5 and the end surface is pressed so that the slurry 6 is pressed into the openings of the predetermined cells 2a, 2b. When the holes are made, two or more types of holes 3a, 3b having different diameters are made.