With　the　benefit　of　saving　a　stage　of　DC/DC　converter　and　the　electrolytic　capacitors　on　the　DC　side　of　the　inverter,　the　current　source　inverter　(CSI)　is　attracting　the　focus　as　the　interface　between　the　PV　power　panel　and　the　grid　in　recent　years.　This　paper　proposes　a　continuous　control　set-model　predictive　control　(CCS-MPC)　for　a　three-phase　CSI　in　an　unbalanced　grid.　In　the　proposed　strategy,　the　current　reference　is　calculated　according　to　the　power　reference　and　grid　voltage.　Then　the　CCS-MPC　is　designed　to　track　the　current　reference.　To　damp　the　oscillation　of　the　filter,　both　inductor　current　and　capacitor　voltage　are　introduced　into　the　cost　function.　The　desired　current　vector　is　calculated　by　minimizing　the　cost　function　and　is　achieved　by　SVPWM.　The　proposed　strategy　enables　the　fast　response　of　CSI　without　oscillation　in　both　balanced　and　unbalanced　grids.　The　effectiveness　of　the　proposed　strategy　is　verified　by　simulation　results.　©　2022　IEEE.