Singular integral equations with complex translations on smooth closed curve are discussed if equations satisfy regularity condition. And the solutions are obtained by the method of regularization.

• 在正则型的假设下；讨论了封闭曲线带复平移的奇异积分方程；并利用正则化方法得到方程解的表达式；所得结论补充了带平移的奇异积分方程的理论.