For a three-level non-Hermitian quantum system with gain and loss, a new technique called non-Hermitian stimulated Raman shortcut to adiabatic passage (NH-STIRSAP) is proposed. This technique is based on the traditional stimulated Raman adiabatic passage (STIRAP), and the non-Hermitian terms in the NH system can be flexibly manipulated to effectively compensate the nonadiabatic coupling in the evolution and thus to accelerate the whole adiabatic evolution process. The detailed numerical calculation and theoretical analysis results confirm the rapidness and high-fidelity of the proposed technique. In addition, its application in beam splitting is demonstrated. Compared with the traditional shortcuts to adiabaticity, the new NH-STIRSAP technique has a wider range of applications.