  We show that the local conformal group $C$ is a natural symmetry group of
strong, electroweak and gravitational interactions. A model for these
interactions invariant under the local symmetry group $G=SU(3)\times
SU(2)_{L}\times U(1)\times C$ is postulated. It contains all Standard Model and
gravitational fields, however the Higgs mass term $\mu^2\Phi^{\dagger}\Phi$ is
forbidden. Using the unitary gauge and the conformal scale fixing conditions we
can eliminate all four real components of the Higgs field in this model. In
spite of that the tree level masses of vector mesons, leptons and quarks are
automatically generated and they are given by the same formulas as in the
conventional Standard Model. The gravitational sector of the model is also
analyzed and it is shown that the model admits in the classical limit the
Einsteinian form of gravitational interactions. We propose several experimental
tests which can discriminate between the Higgs-Free and the Standard Models.
