A method and apparatus for selecting a coding mode of intra prediction in video compression. The method adapts an alternative full search (AFS) algorithm which reduces the computations of a conventional full search (FS) method. In the method, estimated sums of predicted blocks are obtained without actually forming predictors. By comparing the estimated sums of all modes with a low bound threshold, the undesired modes are quickly eliminated, and thus the number of predictor calculations and cost evaluations that require intensive computations are decreased.