The aim of the present investigation is to forecast a principle opportunity of a pulsed DF to HBr laser frequency conversion and to evaluate an efficiency of that process. Computer modelling of the pulsed DF-HBr optical resonance transfer laser (DF-HBr ORTL) is performed and output characteristics ofthe system are predicted. The ORTL gas mixture contained DF at 10 Torr, HBr at 10 Ton and He at 100 Torn It was considered as a multiline pumping. The pump radiation flux was varied from 0.02 to 2 JIcm2. Depending on conditions the length of an ORTL gas media must be between 2 and 30 cm at using the longitudinal pump geometry. When DF-HBr gas mixture is pumped by a pulsed flash-initiated chemical DF laser, it is feasible to produce HBr lasing with a specific output energy over 100 mJ/cm and efficiency of 40 % relative to absorbed radiation energy. When used for pumping, a pulsed electrical discharge chemical DF laser can provide HBr lasing with specific energy up to 20 mJ/cm3 and efficiency up to 25 %. Therefore one will anticipate that a highly efficient laser system of the 4.2 -5.2 jtm spectral region can be developed.