Shield or cavity around split-ring resonators is used for enhancing its output performance. Shield parameters which influence resonator performance include dimensions, material, electrical and mechanical properties. Performance is generally measured in terms of quality factor and resonant frequency. This paper presents an approach for designing a shield for attaining better quality factor. Shields have been modeled around predesigned split-ring resonators. Various aforesaid parameters were used for obtaining improved values of performance parameters. These parametric values were utilized to design a new shield. Developed algorithm was verified for the correctness of results.