  On the basis of dynamic quantization method we build in this paper a new
mathematically correct quantization scheme of gravity.
  In the frame of this scheme we develop a canonical formalism in
tetrad-connection variables in 4-D theory of pure gravity.
  In this formalism the regularized quantized fields corresponding to the
classical tetrad and connection fields are constructed. It is shown, that the
regularized fields satisfy to general covariant equations of motion, which have
the classical form. In order to solve these equations the iterative procedure
is offered.
