  Let $H_n$ be the linear heptagonal networks with $2n$ heptagons. We study the
structure properties and the eigenvalues of the linear heptagonal networks.
According to the Laplacian polynomial of $H_n$, we utilize the decomposition
theorem. Thus, the Laplacian spectrum of $H_n$ is created by eigenvalues of a
pair of matrices: $L_A$ and $L_S$ of order number $5n+1$ and $4n+1$,
respectively. On the basis of the roots and coefficients of their
characteristic polynomials of $L_A$ and $L_S$, we not only get the explicit
forms of Kirchhoff index, but also corresponding total complexity of $H_n$.
