Research results on the synthesis of carbon nanotube arrays using a combined catalyst are pre sented. Thanks to optimal synthesis parameters such as temperature, the reagent flow rate, the concentration and type of organometallic compound, and the composition of the catalyst film, a new synthesis method for the arrays of carbon nanotubes (CNTs) of a given topology is developed. The influence of the size effects of topological elements on the characteristics of the CNT arrays is studied. The results of a statistical analysis and research into the CNT morphology by transmission and scanning electron microscopy are shown.