Based upon the bionics principle, we present the design of a metal-dielectric-metal sandwiched leaf-shaped metamaterial, and the numerical simulation and experiment have confirmed an obvious left-handed transmission peak by this structure. The retrieved effective permittivity, permeability, and refractive index are all negative around the frequency of the resonant peak, and the planar lens focusing experiment has further confirmed its left-handed features. The results in this paper can be used to explain the resonance mechanism of the left-handed metamaterials fabricated by means of the nano-self-assembly approach, and thus may greatly promote the development of optical metamaterials.