Abstract: A novel disc-shaped metamaterial with wide-band negative permeability and a connected disc-shaped broad- band left-handed metamaterial are proposed, respectively. For perpendicular incident waves with arbitrary polarization, the disc-shaped metamaterial provides a negative permeability frequency band from 8.71GHz to 15.19GHz, and the connected disc-shaped left-handed metamaterial enables a double negative property from 6. 04GHz to 7.40GHz. The disc-shaped structure is investigated by finite element method(FEM) simulation, constitutive parameter extraction, surface current distribution calculation, parameter sweep simulation. The results show that a magnetic resonate loop excited by external magnetic field can produce a negative permeability characteristic. The operating principle of its broadband characteristic is analyzed by an infinite division method. The magnetic resonant frequency and quality factor are calculated as well. Additionaly, the equivalent circuit structure is presented based on above analysis. Through the parameter sweep analysis, we estabilsh the relationship between negative permeability characteristic and associated physical factors, namely, patch radius, permittivity of substrate, loss property and incident angle. Finally, the electric responsibility of the connected disc-shaped structure is investigated in detailed, and the equations of its equivalent electric plasma frequency is deduced based on the equivalent constitutive parameter extraction.