Consider a graph G with p number of vertices and q number of edges. If the edges of the graph are labeled by subtracting the corresponding vertex label of the respective edges following the condition that the labels of the vertices and edges are distinct is known as Graceful labeling of a graph. In this article, we have applied graceful labeling in Double hexagonal snakes D(HSn), Alternate Hexagonal Snakes A(HSn), Odd Alternate Hexagonal Snakes OA(HSn), Double Alternate Hexagonal Snakes DA(HSn).