The concept of Laplacian energy of an intuitionistic fuzzy graph is extended to Laplacian energy in operations on intuitionistic fuzzy graph. In this paper, we have obtained the value of Laplacian energy in different operations such as union and join between two intuitionistic fuzzy graphs. Also we study the relation between the Laplacian energy in the operations on two intuitionistic fuzzy graphs. © Springer Nature Switzerland AG 2019.