In view of the multi-attribute decision making problem existing in the interval valued intuitionistic trapezium with decision index and decision maker at different priority levels, a proposal has thus been made of a generalized interval valued intuitionistic trapezoidal fuzzy priority weighted geometric operator, followed by the derivation of the mathematical expressions, as well as a further study on the related properties and some special cases of the operator. Meanwhile, an investigation is to be made of the multi-attribute group decision making method based on generalized interval valued intuitionistic trapezoidal fuzzy priority geometric operators. Finally, a numerical example is given to verify the validity of the operator.