We discuss the symmetry of the parameter space of the interacting boso
n model (IBM). It is shown that for any set of the IBM Hamiltonian par
ameters (with the only exception of the U(5) dynamical symmetry limit)
one can always find another set that generates the equivalent spectru
m. We discuss the origin of the symmetry and its relevance for physica
l applications. (C) 1998 Elsevier Science B.V. All rights reserved.