Global coronavirus disease 2019 (COVID-19) pandemic still threatens human health and public safety, and the development of effective antiviral agent is urgently needed. The SARS-CoV-2 main protease (Mpro) and papain-like protease (PLpro) are vital proteins in viral replication and promising therapeutic targets. Additionally, PLpro also modulates host immune response by cleaving ubiquitin and interferon-stimulated gene product 15 (ISG15) from ISGylated host proteins. In this report, we identified [1,2]selenazolo[5,4-c]pyridin-3(2H)-one and benzo[d]isothiazol-3(2H)-one as attractive scaffolds of PLpro and Mpro inhibitors. The representative compounds 6c and 7e exhibited excellent PLpro inhibition with percent inhibition of 42.9% and 44.9% at 50 nM, respectively. The preliminary enzyme kinetics experiment and fluorescent labelling experiment results determined that 6c was identified as a covalent PLpro inhibitor, while 7e was a non-covalent inhibitor. Molecular docking and dynamics simulations revealed that 6c and 7e bound to Zn-finger domain of PLpro. Compounds 6c and 7e were also identified to potent Mpro inhibitors, and they exhibited potent antiviral activities in SARS-CoV-2 infected Vero E6 cells, with EC50 value of 3.9 μM and 7.4 μM, respectively. In addition, the rat liver homogenate half-life of 6c and 7e exceeded 24 h. These findings suggest that 6c and 7e are promising led compounds for further development of PLpro/Mpro dual-target antiviral drugs.