Conventionally, to obtain the negative permeability and negative refraction metamaterials, the split-ring resonator (SRR) and cut-wire-pair (CWP) were applied. However, the properties of these structuresare strongly dependent on the polarization of electromagnetic waves. In this report, we used a high symmetry structure-the so-called dish pair structurewhich based on the CWP structure, with the aim of removing this drawback. Each unit cell consists of two identical dishes, symmetrically arranged in a dielectric spacer, providing the negative permeability when interacting with the electromagnetic wave. By expanding the radius of the dish until two adjacent dish close each other, the negative refractive index can be obtained. This is important effect to have a tunable MMs by interacting with the external field. The results of studies using the simulation, experimental and calculation quite coincide. The obtained structuredoes not depend on the polarization of the incident wave. This result is very important for practical applications using the isotropic negative refraction metamaterials.