This paper deals with the geodetic applications of the gravity method. Gravity anomalies permit the absolute undulations of the geoid and the absolute deflections of the vertical to be determined. In turn, these, together with astronomical observations, form the basis for a World Geodetic System for the control of small scale maps beginning with the scale 1:100,000. They serve also, together with existing triangulations, for the correction of the dimensions of the reference ellipsoid. Additional gravity surveys are needed in order to obtain these and other minor objectives. Cooperation among scientists and agencies of different countries concerned with these problems is a prerequisite for the success of this world-wide program.