In 1917, Einstein postulated that mass should be produced by the interaction with the gravitational field and, later on, introduced the cosmological constant for a model of cosmological finite space. This was then followed by the Brans Dicke's (1961) scalar-tensor theory and the idea that the mass of the elementary particles is produced by their interaction with the Higgs-field. However, unfortunately, the origin of the mass of the elementary particles is still unclear. In this paper the authors attempt to explain the physical meaning of the Higgs-field and its potential with a view to understand the origin of the mass of the elementary particles. By using the technique of spontaneous symmetry breaking they show that any excited Higgs-field mediates an attractive scalar gravitational interaction of Yukawa type between the elementary particles, which become massive by the ground state of the Higgs-field.