The conformal gauge field theory in the integrable Weyl spacetime is proposed. Based on this, a formula of the inertial mass field, m = kΦ(x), is obtained. The meaning of k is shown to be the gravitational charge and Φ(x) the inertial factor. By use of the geometrical characteristics of Weyl salar Φ(x), the conformal symmetry is shown to be broken spontaneously and the Eistein gravity emerged. The theory predict the existence of Weyl vector meson, which is massive and can not interact with any other matter fields.