It has been shown that the shear viscosity of bulk and ribbon glassy Pd 40 Cu 30 Ni 10 P 20 at temperatures T Ͻ T g ͑T g is the glass transition temperature͒ follows a simple relationship, ln ͑T͒ = B͑T͒ −ln Ṫ , where Ṫ is the heating rate and B depends only on temperature. This means, in particular, that ln ͑T͒ dependencies measured at different heating rates can be superposed by a simple vertical shift and the derivative ץ͉ ln / ץ ln Ṫ ͉ T=const = −1. Such a behavior is indeed found for glassy Pd 40 Cu 30 Ni 10 P 20 . The experimental viscosity data derived earlier on other metallic glasses follow the same relationship. It is argued that this relationship originates from stress-oriented irreversible structural relaxation with distributed activation energies.