At least one of the present embodiments generally relates to a method and an apparatus for video encoding and decoding, and more particularly, to a method and an apparatus for low-complexity bi-directional intra prediction. For example, a subset of a plurality of directional intra prediction modes is selected based on a shape of a current block of a picture being encoded or decoded. For a selected intra prediction mode in this subset, a sample value is bi-directionally intra predicted by using two predictors. The two predictors are substantially on a line based on a direction corresponding to the selected directional intra prediction mode. The bi-directional intra prediction may be only applied to large luma blocks, but not chroma blocks in order to reduce the computational complexity. When bi-directional intra prediction is used, the smoothing filtering may be omitted in intra prediction to further reduce the complexity.