We study the multiple plasmon-induced transparencies (PIT) in the waveguide structure based on bulk Dirac semimetal (BDS) containing multiple side-coupled T-shaped cavities. Using the finite element method, we mainly investigate the transmission spectra, the transmission phase shifts, the delay times, and the magnetic field distributions of the two T-shaped cavities waveguide structure. It is shown that their transmission characteristics strongly depend on the geometric parameters of the waveguide structure. In addition, we discuss the effect of the Fermi level of BDS and the refractive index of the medium on the transmission spectrum of the two T-shaped cavities structure. To get more PIT peaks, we try to simulate the transmission spectrum of three T-shaped cavities waveguide structure. All the results about the multiple PIT phenomena may have some possible applications in designing lenses, high-capacity storage devices, and new filters.