In this paper, we proposed a type of all-dielectric metamaterial(ADM) with quasi- continuous structure, which can inspire quasi-continuous electric and magnetic responses to ac- quire left-handed properties in free space. The proposed model utilizing dielectric rods and cubes as sub-wavelength inclusions. A two dimensional polarization independent left-handedness can be achieved with the frequencies at C band. The rods resonant under characteristic modes can generate negative permittivity and permeability, whereas the cubes are used in the non-resonant modes to assure the continuity of the displacement currents in dielectric inclusions. The simulta- neously double negative properties can be interpreted by electric and magnetic fields distributions of the dielectric inclusions near 7.6 GHz under normal incidence with polarization angle 45◦ . The further study on transmission spectra and effective refractive indexes of the model with different polarization angles shows that the left-handed property is insensitive to different polarization angles due to the π/2 rotation symmetry of the ADM. The proposed ADM can be easily realized at infrared and optical frequencies with dielectric inclusions.