In this paper, methods for aggregating fuzzy number intuitionistic fuzzy information are investigated. Some operational laws of fuzzy number intuitionistic fuzzy numbers, score functions of fuzzy number intuitionistic fuzzy numbers are introduced. Based on these operational laws, some aggregation operators, including fuzzy number intuitionistic fuzzy weighted averaging (FIFWA) operator,fuzzy number intuitionistic fuzzy ordered weighted averaging (FIFOWA) operator and induced fuzzy number intuitionistic fuzzy ordered weighted averaging (I-FIFOWA) operator are proposed. Properties of these fuzzy number intuitionistic fuzzy information aggregation operators are also analyzed. An approach is developed to deal with multiple attribute group decision making, in which the attribute weights and expert weights take the form of real numbers, and the preference valuestake the form of fuzzy number intuitionistic fuzzy numbers based on the FIFWAA and the I-FIFOWA operators. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.