  In this paper, we prove a discrete analog of the Selberg Trace Formula for
the group $\text{GL}_{3}(\mathbb{F}_q).$ By considering a cubic extension of
the finite field $\mathbb{F}_q$, we define an analog of the upper half space
and an action of $\text{GL}_{3}(\mathbb{F}_q)$ on it. To compute the orbital
sums we explicitly identify the double coset spaces and fundamental domains in
our upper half space. To understand the spectral side of the trace formula we
decompose the induced representation $\rho = \text{Ind}_{\Gamma}^{G} 1$ for $G=
\text{GL}_{3}(\mathbb{F}_q) $ and $ \Gamma = \text{GL}_{3}(\mathbb{F}_p).$
