Abstract: This article investigates some properties of meromorphic solutions of the type of system of differential-difference equations of the following form

where n ≥ 4,p₁(z)、p₂(z) are non-zero polynomials, and h₁(z),h₂(z) are entire functions. By using Nevanlinna theorem, we have obtained the solution of above equation is unique. We also discuss the conditions for several types of system of differential-difference equations if the systems of equations actually pose meromorphic solutions of finite order.

Key words: Nevanlinna theory, system of equations, differential-difference equation, meromorphic solution