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In this paper, a THz tunable modulator based on a bundle of aligned semiconducting single-walled carbon nanotubes is introduced. A semi analytical model describing the energy band gap reduction of semiconducting single-walled carbon nanotubes (s-SWCNTs) is presented. The general approach shows that by applying an electrical field perpendicularly to aligned s-SWCNTs, the energy band gap of the carbon nanotubes is reduced. I-V characteristics are carried out to verify experimentally the validity of the model by studying the enhancement of the conductance when an electrical field is applied across the aligned s-SWCNTs.