  We study the decay width of the inclusive process b --> s g g in the two
Higgs doublet model with three level flavor changing neutral currents (model
III). We analyse the dependencies of the differential decay width to the s
quark energy E_s and model III parameters, charged Higgs mass m_{H^{\pm}} and
Yukawa coupling \bar{\xi}_{N,bb}^D. We observe that there exist a considerable
enhancement in the decay width for the relevant process. This enhancement can
be reduced by choosing C_7^{eff} as negative and increasing the lower bound of
m_{H^{\pm}} to the large values, such as 800 GeV . This is an interesting
result which gives an idea on the mass m_{H^{\pm}} and sign of C_7^{eff}.
