A unified field theory is formulated using a tetrad vector field. The field relations are derived by following a procedure similar to that used byEinstein in 1951, with the affine connexion being, here, defined in terms of the tetrad field instead of Einstein’s nonsymmetric tensorgμν. The suggested field relations are applied to the tetrad field, having spherical symmetry, used by Einstein in 1930. The solution obtained is shown to correspond to a purely gravitational field. The Riemannian space associated with the tetrad field obtained is transformed to the ordinary Schwarzschild’s space-time.