The features of the effect of self-induced transparency (SIT) in a multi-well M Q W − structure with two working levels in quantum wells (QWs) in a transverse electric field are considered. The cycle of energy exchange between an ultrashort pulse and the resonant medium of two-level systems, which leads to coherent bleaching of the M Q W − structure, is complicated by resonant tunneling between the size-quantization levels of neighboring QWs. The behavior of a radiation pulse during the propagation of two-level QWs in a resonant medium in the self-transparency regime is analyzed. Analytical dependences of various branches of evolution and possible transition conditions between branches for propagating pulses are demonstrated. Practical possibilities are pointed out for deforming the envelope profile and the duration of the radiation pulse by varying the strength of the applied external electric field. The direct possibility for such controlled manifestations of the SIT effect as propagation without absorption, pulse delay, and variation of the observability threshold is emphasized. • The features of the self-induced transparency (SIT) effect in a multi-well MQW-structure with two working levels in quantum wells (QWs) are considered. • The structure is placed in a transverse electric field directed perpendicularly to the vertical walls of the QW, which ensures that the ground level of one well coincides with the energy of the excited level of the neighboring well. • The cycle of energy exchange between an ultra-short pulse and the resonant medium of two-level system is complicated by the processes of resonant tunneling between the quantum-confinement levels of neighboring QWs. • The behavior of a radiation pulse during propagation of two-level QWs in a resonant medium is analyzed taking into account resonant tunneling between neighboring QWs in the self-transparency mode.