By means of first-principles calculations, we investigate the electronic structure, lattice dynamics, and electron-phonon coupling of the newly discovered silicide superconductor Li2IrSi3. The band structure shows obvious three-dimensional character, and the number of hole pockets around the center of the Brillouin zone depends on whether spin-orbit coupling is taken into consideration. For the phonon-related properties, a phononic-crystal-like behavior with a frequency gap in the range 400 cm −1 < ω < 411 cm −1 is discovered, which makes Li2IrSi3 a good candidate for controlling the propagation of phonons. The electron-phonon coupling constant λ equals 0.52, and the estimated superconducting transition temperature Tc 4.1 K is close to its experimental value, suggesting that Li2IrSi3 is a weak-coupling phonon-mediated superconductor.