In this paper, we mainly study the exact controllability of several types of extended-path molecular graph networks. Based on the construction of extended-path molecular graph networks with C 3 , C 4 , or K 4 , using the determinant operation of the matrix and the recursive method, the exact characteristic polynomial of these networks is deduced. According to the definition of minimum driver node number N D , the exact controllability of these networks is obtained. Moreover, we give the minimum driver node sets of partial small networks.