In this study, we propose a novel metamaterial structure having magnetic resonances at two different frequencies and hence providing negative effective permeability values over two separate bandwidths. The introduced metamaterial unit cell topology in this paper is made of a single loop of conducting strip printed over a dielectric substrate with a special winding geometry. Transmission and reflection spectra of this unit cell are simulated using the Ansoft's HFSS software to observe its resonance frequencies. Then, the effective permeability (mu(eff)) and effective permittivity (epsilon(eff)) curves are retrieved from the already computed complex S-parameters to demonstrate the presence of two distinct negative permeability bandwidths. The results clearly show that this novel structure can be a very useful alternative to the ordinary SRR and spiral resonator (SR) structures especially when a dual band operation is needed.