The AFM (Ambiguity Function Method) is insensitive to the integer ambiguity and the presence of cycle slips in the carrier phase observations. But there are two significant problems with using the AM to determine GPS base-lines. The first problem is the long computation time required to determine the optim position. The second problem is that there may be sever maxima points that the AFM gorithm must discriminate between within the search volume in order to identify the optim position. A new gorithm which enables the AFM to be applied to the OTF (On-the-fly) environments by significantly shortening the computation time is proposed in this paper. In addition to it, sever statistic procedures which verify whether the optim position is true or not are proposed.