Based on the electromagnetic response characteristics of split ring resonators (SRRs) and the rigorous electromagnetic field theory, the enhancement effect of terahertz (THz) wave and the resonance characteristics in the metamaterial consisting of split ring resonators are studied. The spatial distributions of the electric field, the electric energy density and the power flow in split ring resonators are mainly simulated. The variation of the electric energy density with different terahertz frequencies is also investigated. Furthermore, the effect of the parameters of the split ring resonators on the enhancement effect of terahertz wave and the resonance characteristics in the metamaterial are analyzed. It can be shown from our simulation results that the enhancement effect of terahertz wave occurs obviously in the gap of the split ring resonators. Not only the electric field near the opening is obviously stronger than that in other regions, especially in the gap of the split ring resonators, but also the maximum of the electric energy density appears in the opening of the SRRs, and the electric field is obviously stronger near the resonance frequency of the SRRs. Moreover, the resonance frequency and the electric energy density vary obviously with the parameters of the SRRs.