A digital computer method of making gravity station terrain corrections has been developed that uses a linear system of multiquadric equations. This system is fitted to the points defined by square topographic compartments and the point defined by the station itself to give a mathematically described surface. The surface is a better model of the actual topography than the digital terrain model, especially near the station. Terrain correction of this surface is calculated using a simple and fast numerical integration.A theoretical example shows that the multiquadric equation method is potentially more accurate than a hand chart method for near-station terrain corrections. Field examples in an area of rugged topography show that the method can be successfully used for actual gravity stations.