The energies , fine structures and lifetimes of the 2s2s2p2P0 and 2s2p2p2D triply excited states of the Li isoelectronic sequence are calculated using multichannel saddle-point and saddle-point complex-rotation methods. A restricted variational method is used to extrapolate a better nonrelativistic energy. The relativistic corrections are calculated with first-order perturbation theory. The shifts and widths are studied with one open channel at a time as well as fully coupled open channels. The radiative transition rates and the fine-structure splittings for the 2P0 and 2D states are also calculated. These results are compared with the existing theoretical and experimental data in the literature.