EN
In the effective mass approximation in the two-band model of semiconductor the dipole moment matrix element due to the biexciton-exciton transition is expressed by the functional of the exciton and biexciton envelopes. In comparison to previous estimations of the biexciton-exciton transition probability the detailed band structure at band extrema was taken into account and the biexciton envelope optimized by variational calculation was used in calculations. The oscillator strength ratio I^{2}=f_{biex-ex}/f_{band-to-band} is given for several values of σ=m_{e}/m_{h}. The calculated functional I for CdS is about four times smaller compared to that obtained by Hanamura. The calculated giant oscillator strength of the biexciton-exciton recombination in CdS is f_{biex-ex}=4×10^{2}.