Efficient copper-catalyzed radical thiocyanosulfonylation of alkenes and alkynes with potassium thiocyanate and sodium phenylsulfinate is described. The reactions provide general and convenient methods toward the synthesis of β-thiocyanoalkyl sulfones and β-thiocyanoalkenyl sulfones, respectively, in satisfactory yields. Based on conducted mechanistic experiments, a mechanism involving oxidative generation of sulfonyl radicals and subsequent addition to alkenes followed by Cu-assisted thiocyanation is proposed. Moreover, the practicability of the reaction is successfully demonstrated by its successful application on a gram scale.