First of all,using the relations (2.3),(2.4),and (2.5),we define a complex Clifford algebra Wn and the Witt basis.Secondly,we utilize the Witt basis to define the operators (6) and (6^) on Kaehler manifolds which act on Wn-valued functions.In addition,the relation between above operators and Hodge-Laplace operator is argued.Then,the Borel-Pompeiu formulas for (Ⅲ)n-valued functions are derived through designing a matrix Dirac operator D and a 2 x 2 matrix-valued invariant integral kernel with the Witt basis.