In this paper, we obtain the form of the solutions of the following rational systems of difference equations

$$x_{n+1}={\displaystyle \frac{y_{n-1}{z}_n}{z_n\pm x_{n-2}}},y_{n+1}={\displaystyle \frac{z_{n-1}{x}_n}{x_n\pm y_{n-2}}},z_{n+1}={\displaystyle \frac{x_{n-1}{y}_n}{y_n\pm z_{n-2}}},$$

with initial values are non-zero real numbers.