  We investigate deformations of Gauss-Bonnet-Lifshitz holography in $(n+1)$
dimensional spacetime. Marginally relevant operators are dynamically generated
by a momentum scale $\Lambda \sim 0$ and correspond to slightly deformed
Gauss-Bonnet-Lifshitz spacetimes via a holographic picture. To admit
(non-trivial) sub-leading orders of the asymptotic solution for the marginal
mode, we find that the value of the dynamical critical exponent $z$ is
restricted by $z= n-1-2(n-2) \tilde{\alpha}$, where $\tilde{\alpha}$ is the
(rescaled) Gauss-Bonnet coupling constant. The generic black hole solution,
which is characterized by the horizon flux of the vector field and
$\tilde{\alpha}$, is obtained in the bulk, and we explore its thermodynamic
properties for various values of $n$ and $\tilde{\alpha}$.
