The realization of electromagnetically induced transparency (EIT) on metamaterial has special properties, such as strong slow-light, frequency-selection and so on, which make EIT widely used in the fields of slow-light, optical storages and filters. In this paper, a metamaterial with two pairs of split ring resonators (SRRs) and one cut-wire (CW) is designed to achieve dual-band EIT effect at 0.5~2.14 GHz and 0.4~2.10 GHz with independently tunable bandwidths of 1.64 GHz and 2.7GHz, respectively. The coupled Lorentz model is adopted to principally study the coupling characteristics between dark and bright modes. It is shown that the coupling strength between the dark and bright modes could be modulated by the coupling distance, which make the dual-band transparent window could be independently modulated by only changing the coupling distance between the bright and dark mode. The group delay and energy storage are also simulated by setting the Gaussian pulse signal passing through the EIT structure. The results show that the group delay of the designed EIT structure is 16.9 times that of the same thickness of dielectric material. The manufactured metamaterial is tested in a microwave anechoic chamber. The experimental and theoretical results are well consistent. These results could be beneficial for the development of EIT research toward some up-and-coming novel slow-light, optical storage, sensor and optical filter applications.