We prove the existence and uniqueness of a periodic solution for the multiple delay difference neutral Volterra equation Δx(n) = -SNj=1aj (n)x(n - σj (n)) + ΔQ(n; x(n - σ1(n)), ..., x(n - σN(n))+SNj=1Snn-σj (n)kj (n, s)fj (s, x(s)). The contraction mapping principle and a Krasnoselskii's fixed point theorem are used in the analysis.