The present invention relates to a method for producing carbon nanotube array, a spinning source member, and a structure provided with carbon nanotubes. The method for producing a carbon nanotube array is characterized in that: a first step, as a means to enhance productivity when producing CNT arrays by gas-phase catalysis, and a means to enhance the spinnability of the CNT arrays, introducing a substrate into an atmosphere containing a gas-phase catalyst, the base surface of the substrate being a surface comprising a material containing an oxide of silicon, and the base surface being provided as at least part of the substrate surface; and a second step for growing a plurality of carbon nanotubes on the base surface of the substrate by introducing raw material gas and a gas-phase co-catalyst into the atmosphere containing a gas-phase catalyst to obtain a carbon nanotube array comprising the plurality of carbon nanotubes on the base surface.