We propose a scheme to realize the active controlled dual-band unidirectional reflectionlessness at exceptional points by classical driving field in a non-Hermitian quantum system that consists of two Λ-type three-level quantum dots side coupled to a plasmonic waveguide. We demonstrate that the dual-band unidirectional reflectionlessness can be controlled by appropriately tuning classical driving field, phase shift between two quantum dots, dissipations of two quantum dots, and quantum dot-waveguide coupling strengths. Furthermore, the dual-band unidirectional reflectionlessness spectra with quality factors of ∼375.40 and ∼402.59 can be obtained in the forward and backward directions, respectively.