The PARP-1/2 inhibitors have been approved for the treatment of cancers by modulating the enzymatic activity and/or the trapping ability for damaged DNA of PARP-1 and/or PARP-2, and the selective PARP-1 inhibitors are now attracting considerable attention with an aim to search for drug candidates with an improved safety. Exploring the structural basis of the selectivity and trapping capability of known PARP-1/2 inhibitors would be beneficial for the discovery of the improved inhibitors. Herein, a mutated PARP-2 catalytic domain, designated as catPARP-2SE, was engineered. It could be expressed in an elevated level and had capability to crystalize at 25 °C, which greatly facilitated obtaining PARP-2 crystals. Consequently, the complex structures of Fluzoparib, Pamiparib, Rucaparib, and Niraparib within PARP-2 were achieved. Taking advantage of these complexed structures, the detailed and quantitative analyses of protein-ligand and intra-protein interactions (αB-αF, αJ-αB, αJ-αF, ASL-αD and ASL-αF interfaces) were conducted with quantum chemistry methods (GFN2-xTB and IGMH). It suggested that the residues adjacent to Asp766 in the HD and ASL domains and the αJ-αF and ASL-αD interfaces were closely related to the selectivity and trapping mechanism. These results would provide some insights for the design and development of novel PARP-1/2 inhibitors with improved pharmacodynamic properties.