A structure of two-dimensional incident left-handed metamaterial composed of double trapezoid metal strips was proposed based on paralleled metal strips and thin metal wire. The structure consists of dielectric-slab and anti-symmetrical trapezoid metal strips on each side. Compared with the traditional left-handed metamaterial structures, this structure not only has double left-handed frequency band under the parallel incidence of electromagnetic wave, but also has a good expansibility, and it is easy to produce. By using the simulation software, the structure is analyzed respectively when electromagnetic waves are incident perpendicularly and when they are parallel to the substrate. Results show that, the structure can show double negative properties either under the incidence of electromagnetic waves paralleled or perpendicular. Besides, with the upper base size of the structure being greater for each 0.5 mm, the frequency band of double negative properties moves to higher frequency band about 0.2 GHz and 0.4 GHz.These can be as reference values in the research of left-handed metamaterial based on paralleled meta strips.