Abstract: This paper has presented a method to map full support of a non-circle tunnel onto a annular domain.The mapping function can be obtained by means of the optimiization techniques of mixed penalty function.Themethod is based on the conformal transformation of doubly connected odmain,this overcomes the shortcomings incalculating mapping function of doubly connected domain by means of single domain method. The precision of map-ping function obtained is higher than that of the latter.