In the present paper, the minimum wave resistance problem based on the low speed theory is investigated by means of the nonlinear programming. In case of the low speed theory, the variational approach is of no use, because the formula of wave resistance is highly nonlinear. In order to reduce the computer time, the simplified formula is employed, and the wall-sided hull of equal waterline is assumed. Several approximate numerical treatments are also used in the optimization process. The fairing constraint is included in the problem to obtain the stable shape of hull as in the previous reports. Numerical examples are given and compared with former theories and design data. Optimum coefficients of fineness obtained by the present method show the similar tendency to those based on the series model tests carried out by Taylor.