In this study, we propose a new SRR unit cell design for multi-band metamaterial applications. The suggested unit cell structure consists of N number of concentric split rings to obtain magnetic resonances at N distinct frequencies. The value of each distinct resonance frequency can be adjusted by changing design parameters such as metal widths and gap distances for each ring as well as ring-to-ring separations. The suggested multi-band structure is simulated using CST Microwave Studio. Effective medium parameters of the resulting multi-ring SRR type metamaterials are estimated by a retrieval algorithm.