To take control of the propagation direction over the electromagnetic wave, or even over the propagation direction of wave, including light-wave, is a promising research target. The controllable negative refractive index materials were researched, and by using the changes of refractive index, the goal of controlling wave direction could be achieved. Based on the analysis about the feature of generating negative magnetic permeability by Double Split-ring Resonator (DSRR) array, the magnetic permeability and the final changes of refractive index caused by the states swaying from Double Part-closed-ring Resonator (DPCRR) array were researched, and different characteristics produced by opening and closing were found. Then we designed an array controllable program in the DPCRR array. Some experiments were carried out about the two designed structure. Compared with the theoretical structures, the controllable negative refractive index structure designed in this thesis was validated. The final result proves that this structure can make the two propagation directions of some microwave-bands become controllable. At the same time, the experimental result demonstrates feasibility of using the changes of refractive index to control the direction of wave transmission.