We deform Heisenberg algebra and corresponding coalgebra by twist. We present undeformed and deformed tensor identities. Coalgebras for the generalized Poincaré algebras have been constructed. The exact universal R-matrix for the deformed Heisenberg (co)algebra is found. We show, up to the third order in the deformation parameter, that in the case of κ-Poincaré Hopf algebra this R-matrix can be expressed in terms of Poincaré generators only. This implies that the states of any number of identical particles can be defined in a κ-covariant way.