A continuously differntiable solution of hyercomplex elliptic equationDW+AW+BW=0, z=x+iy （1）is called generalized hyperanalytic function, here D is Douglis differentiat operator. Suppose L consists ofcountable soomth Jordan closed curves Lk k=1, 2, …, the finite domain surrounded by Lk is denotedGk+, All Gk+ don’t intersect one another, the positive directions of Lk are determined as usual, and {Lk}converges at a finite z0. Set L= L∪（Z0） , G+ = Gk+, G-=CG+.This paper deals with the Riemann problem ; find a piecewise generalized hyperanalytic function w（z）in the whole plane C, satisfying the bounbary condition on
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