On the basis of the second Drinfeld realization of U'(q)(<(sl(2))over cap>)
we construct the quantum version of vertex operators for the sine-Gordon m
odel which are responsible for the generation of soliton solutions in the c
lassics. The quantum vertex operators satisfy relations of Zamolodchikov al
gebra and possess the quantum interaction function. We discuss also their p
ossible role in the quantum soliton theory.