In the real world scenario 'n' (n>2) array information are required to describe a problem completely. To analyze these type of problems we use m-polar fuzzy graphs. Otherwise it cannot be represented completely using fuzzy graphs or bipolar fuzzy graphs. Though we use m-polar fuzzy graphs people may not satisfy with the available data, they always look for more better data than the available that they may have little unsatisfaction with the data, considering this we use m-polar intuitionistic fuzzy graphs. In this paper, some operations are defined to formulate these graphs. Some properties of strong m-polar intuitionistic fuzzy graphs, self-complementary m-polar intuitionistic fuzzy graphs and self-complementary strong m-polar intuitionistic fuzzy graphs are discussed. © 2018 American Scientific Publishers. All rights reserved.