Abstract: We extend the unified coordinate system proposed by Hui et al.to axisymmetric Euler equations.The form and hyperbolicity of axisymmetric Euler equations are discussed.Solution of 1-D Riemann problem solved by axisymmetric Euler equations after dimensional splitting is shown.Axisymmetric Euler equations are numerically solved using Godunov scheme with MUSCL update.Numerical results show advantages of unified coordinates.