By theoretical analysis and experimental simulation，planar left-handed metamaterials using double split-ring resonator pairs are studied in this paper. Simultaneous negative permittivity and permeability are described and explained by using equivalent circuit theory. Moreover，double split-ring resonator pairs used in the design of 3-dimensional left-handed metamaterials are also investigated. The results show that double split-ring resonator pairs can be used as planar left-handed metamaterials with small sizes and that double split-ring resonator pairs can be also used as 3-dimensional anisotropic magnetic metamaterials to realized negative permeability in 3-dimensional left-handed metamaterials.