We realize the U-q(<(sl(2))over cap>) current algebra at an arbitrary
level in terms of one deformed free bosonic field and a pair of deform
ed parafermionic fields. It is shown that the operator product expansi
ons of these parafermionic fields involve an infinite number of simple
poles and simple zeros, which then condensate to form a branch cut in
the classical limit q --> 1. Our realization coincides with those of
Frenkel-Jing and Bernard when the level k takes the values 1 and 2, re
spectively.