In this paper, we are concerned with the Hénon-Hardy type systems with exponential nonlinearity on a half space R + 2 : (− Δ) α 2 u (x) = | x | a u p 1 (x) e q 1 v (x) , x ∈ R + 2 , (− Δ) v (x) = | x | b u p 2 (x) e q 2 v (x) , x ∈ R + 2 , with Dirichlet boundary conditions, where 0 < α < 2 and p1, p2, q1, q2 > 0. First, we derived the integral representation formula corresponding to the above system under the assumption p 1 ≥ − 2 a α − 1 . Then, we prove Liouville theorem for solutions to the above system via the method of scaling spheres. [ABSTRACT FROM AUTHOR]