The radiative dileptonic decays B-s(B-d)-->l(+)l(-)gamma (l=e,mu) are
investigated within the standard model. The transition form factors ar
e calculated in the framework of the light cone QCD sum rule method an
d it is found that the branching ratios are B(B-s-->e(+)e(-)gamma) = 2
.35 x 10(-9), B(B-s-->mu(+)mu(-)gamma) = 1.9 x 10(-9) B(B-d-->e(+)e(-)
gamma) = 1.5 x 10(-10), and B(B-d-->mu(+)mu(-)gamma) = 1.2 x 10(-10).
A comparison of our results with the constituent quark model predictio
ns on the branching ratios is presented.