The purpose of this work was to develop an accurate, rapid method for determining the constants A, B, and C of the Antoine equation, log p = A - B/( C + t) which relates the vapor pressure of a liquid to temperature. The procedure makes use of a weighted least squares curve fit with an iterative computation. The computation has been programmed in BASIC for use on a microcomputer, and the details of the program and its use are presented. A comparison of the results of the present method with published values for several compounds indicates that the constants are determined more accurately by the present method than by other methods.