In this paper, a planar and vertical combination of metamaterial that can realize the multiband and broadband electromagnetically induced transparency effect by three-dimensional coupling is designed. Through the coupling of three vertical split ring resonators(SRRs) and one planar square closed loop(SCL), the electromagnetically induced transparency of the metamaterial is realized at 0.68 THz and 1.09 THz. The bandwidth can reach 0.38 THz and 0.74 THz, respectively. By comparing and splitting the structures, the physical mechanism of electromagnetically inducing transparency through multiband and broadband is studied. Besides, the influences of the distance between the three SRRs and their arm-lengths on the intensity and bandwidth of the electromagnetically induced transparency are analyzed. The simulation show that the structure of metamaterial can achieve slow light effect with high intensity at multiple frequency points and high refractive index sensitivity in terahertz range. It has some application value in the field of optical buffer devices and refractive index sensing.