Summary: This paper discusses the boundedness of a class of higher-order singular Teodorescu operators on \(\mathbb{R}^n\). First, a class of high-order \(T\) operators on \(\mathbb{R}^n\) is defined. Then the operator is divided into two parts. We use the Hölder inequality and some lemmas to prove the uniform boundedness of this operator over \(\mathbb{R}^n\).