The notion of totally magic cordial (TMC) labeling was due to Cahit [2] as a modification of edge magic total labeling and cordial labeling. Since then several variation of cordial labeling have been investigated [6]. Also we extended TMC for directed graphs and proved the same for Paley digraphs [5].We prove that path related graph, book graph, some split graph of standard graphs and gear graph admits total magic cordial labeling. This paper shows the existence of total magic cordial labeling of square and shadow of bistar.