This paper deals with the antisymmetric equivalent of the Michell symmetric thin-ship problem. An analytical solution of the steady translation of a vertical surface-piercing disk at a small angle of attack is found. In this study, the pressure Kutta condition is prescribed at the trailing edge. This condition combined with the result on the wake sheet ensures that the free surface elevation function is continuous across the wake. The solution of the boundary-integral- equation formulation is obtained by using the Kelvin-Havelock Green function. The numerical method is then adopted to solve the resulting integral equation based on a collocation technique in which the continuous dipole distribution is approximated by piecewise-constant dipole panels. Effective algorithms are developed to evaluate the hypersingular kernel involved in the solution. The convergence of the numerical scheme is examined by a systematic refinement of the discretization. The solution is compared with other known solutions for the limiting case of zero Froude number. All major features of the flow are expressed in terms of the dipole density function. Other parameters of the flow including pressure, drag, strength of leading-edge singularity and free-surface profiles on the disk are also presented. The pressure over the whole domain of a lifting surface is calculated for different Froude numbers. Attention is given to the nature of the singularity at the leading edge to investigate the local cross-flow effects. The free-surface profiles on the centerplane of a lifting body are also discussed. Comparisons of the present experimental findings of Brug et. al. (1971) shows a good agreement. The generalization of the present analysis to other geometric configuration of the disk is also discussed. This paper represents a good contribution to the subject.