We study the Poisson bracket algebra of the (N=2)-supersymmetric chira
l WZNW model in superspace. It involves two classical r matrices, one
of which comes from the geometrical constraints implied by N=2 supersy
mmetry. The phase space itself consists of superfields satisfying cons
traints involving this r matrix. An attempt is made to relax these con
straints. The symmetries of the model are investigated.