In this paper we formulate Einstein's gravitational theory with the Cl
ifford bundle formalism. The formalism suggests interpreting the gravi
tational field in the sense of Faraday, i.e., with the field residing
in Minkowski spacetime. We succeeded in discovering the condition for
this interpretation to hold. For the variables that play the role of t
he gravitational field in our theory, the Lagrangian density turns out
to be of the Yang-Mills type (with an auto-interaction plus gauge-fix
ing terms). We give a brief comparison of our theory with other field
theories of the gravitational field in the flat Minkowski spacetime.