A method for producing a carbon nanotube array element includes the steps of: providing a first substrate coated with a conductive paste layer; forming an array of thin film blocks of catalyst on a second substrate; forming each of the thin film blocks into islands of catalyst; forming carbon nanotube bundles on the islands of catalyst, each of the carbon nanotube bundles including a plurality of carbon nanotubes and having a free end portion; pressing the second substrate toward the first substrate such that the free end portions insert into the conductive paste layer; solidifying the conductive paste layer; and removing the second substrate together with the islands of catalyst from the carbon nanotube bundles, thereby forming an open end for each of the carbon nanotubes. A carbon nanotube array element for a field emission cathode device is also disclosed.