Although abundant long non-coding RNAs (lncRNAs) have been found to be highly expressed in early embryos, the functions and mechanisms of most lncRNAs in regulating embryonic development remain unclear. This study was conducted to identify the key lncRNAs during embryonic genome activation (EGA) for promoting embryonic development after somatic cell nuclear transfer (SCNT) in goats. We screened and characterized lncRNAs from transcriptome data of in vitro-fertilized, 2-cell (IVF-2c) and 8-cell embryos (IVF-8c) and 8-cell SCNT embryos (SCNT-8c). We obtained 12 differentially expressed lncRNAs that were highly expressed in IVF-8c embryos compared to IVF-2c, and less expressed in SCNT-8c embryos. After target gene prediction, expression verification, and functional deletion experiments, we found that the expression level of lncRNA3720 affected the early embryonic development in goats. We cloned full length lncRNA3720 and over-expressed it in goat fetal fibroblasts (GFFs). We identified histone variants by analyzing the transcriptome data from both GFFs and embryos. Gene annotation of the gene library and literature search revealed that histone variants may have important roles in early embryo development, so we selected them as the potential target genes for lncRNA3720. Lastly, we compensated for the low expression of lncRNA3720 in SCNT embryos by microinjection, and showed that the development rate and quality of SCNT embryos was significantly improved. We speculate that lncRNA3720 is a key promoter of embryonic development in goats by interacting with histone variants.