The water penetrated into the pores, cracks, joints and seams of concrete dams, creates uplift pressure within the dam and foundation. The distribution of pressure through a horizontal section of the dam is assumed to vary linearly from a full hydrostatic head at the upstream face to zero, or tailwater, at the downstream face, supposing that the dam has no drains. If drains are constructed and work, the internal pressure distribution will be dependent on size, location (distance from the upstream face) and spacing of drains. In this study, a computer program is presented to calculate the distribution of internal pressure at any section of a concrete gravity dam having a system of equally spaced drains of uniform diameter, using Finite Elements Method. An optimum area/or the location of drains, causing the minimum uplift force, is also identified.