Authors’ abstract: In this paper we discuss the existence and properties of the Bianchi transformations for pseudospherical surfaces in \(E^4\). The results of the paper show that the theory of Bianchi transformations in the discussed case is essentially different from the well-known case of pseudospherical surfaces in \(E^3\) (in general \(n\)-manifolds of constant and negative curvature in \(E^{2n-1})\).