CeOLE6, a tuber-specific gene in tigernut, encodes a diverged SH oleosin that functions in oil accumulation via homo and heteromultimerization. Tigernut (Cyperus esculentus L.) is a rare example accumulating high levels of triacylglycerols (TAGs) in underground tubers; however, the mechanism underlying is poorly understood. Given essential roles of oleosins (OLEs) in oil accumulation, in this study, structural and functional analyses were conducted for CeOLE6, an oleosin gene preferentially expressed in tigernut tubers. Phylogenetic analysis revealed that CeOLE6 encodes a diverged oleosin in Clade SH, which also includes CeOLE4 and -5. Further synteny analysis and sequence comparison indicated that CeOLE6 is more likely to be a whole-genome duplication (WGD) repeat of CeOLE4, which underwent rapid evolution and deletion of the typical C-terminal insertion for SHs. Nevertheless, CeOLE6 retains the capacity of oligomerization and oil accumulation, because (i) CeOLE6 could not only interact with itself but also with CeOLE2 and -5, two tuber-dominant members belonging to Clades SL and SH, respectively, and (ii) overexpressing CeOLE6 in tobacco leaves could significantly enhance the TAG content. Though CeWRI1 exhibits a similar expression pattern as CeOLE6 during tuber development, both CeWRI1 and -3 could not activate the CeOLE6 promoter, implying that they are not transcription factors contributing tuber-specific activation of CeOLE6. These findings not only provide insights into CeOLE genes in tuber oil accumulation, but also lay a foundation for further genetic improvement in tigernut and other species.