This paper is two folds. First we give a brief review of Weyl manifold and Deformation quantization. Second, Quantized connection or twisted exterior derivative is discussed. Degree operator field is introduced and plays an important role.
Classical coordinate is constructed by means of the degree operator field.
Quantized connection is then defined on Weyl manifold. In terms of classical coordinates the quantized connection is shown to be the same as Fedosov connection.