Abstract: We discussed the integral expression of a kind of generalized hypermonogenic function vector in Clifford analysis by using the properties of some Cauchytype singular integral operators. Then  we proved the solvability of the nonlinear boundary value problem for the kind of generalized hypermonogenic function vector by using the Schauder fixed point theorem, and gave the expression of the solution.

Key words: generalized hypermonogenic function vector, Cauchytype integral operator, nonlinear boundary value problem