In mammalian cells, many genes are silenced by genome methylation. DNA methyltransferases and polycomb repressive complexes, which both lack sequence-specific DNA-binding motifs, are recruited by long non-coding RNA (lncRNA) to specific genomic sites to methylate DNA and chromatin. Increasing evidence indicates that many lncRNAs contain DNA-binding motifs that can bind to DNA by forming RNA:DNA triplexes. The identification of lncRNA DNA-binding motifs and binding sites is essential for deciphering lncRNA functions and correct and erroneous genome methylation, however, such identification is challenging because lncRNAs may contain thousands of nucleotides. No computational analysis of typical lncRNAs has been reported. Here, we report a computational method and program (LongTarget) to predict lncRNA DNA-binding motifs and binding sites. We used this program to analyse multiple antisense lncRNAs, including those that control well-known imprinting clusters, and obtained results agreeing with experimental observations and epigenetic marks. These results suggest that it is feasible to predict many lncRNA DNA-binding motifs and binding sites genome-wide.