αβ and γδ-T cells represent distinct T cell lineages that express either αβ or γδ T cell receptors (TCRs) to recognise antigens. Natural Killer T (NKT) cells recognize lipid antigens presented by MHC class-I like molecule, CD1d. NKT cells are typically defined by the expression of a semi-invariant TCR (Vα24Vβ11) and by their ability to bind the lipid antigen α-Galactosylceramide (α-GalCer). We have previously shown that the NKT TCR adopts an evolutionarily conserved docking strategy to bind CD1d/α-GalCer to initiate a potent immune response. Here, we describe a novel population of α-GalCer reactive human T cells that expresses an unusual hybrid TCR comprising of a delta variable domain fused to an alpha constant domain, and paired with a Vβ chain. We termed these cells δ/αβ T cells and reveal that the δ/αβ TCR engages CD1d/α-GalCer in a completely different manner to the semi-invariant Vα24Vβ11 NKT TCR. While both δ/αβ T cells and Vα24Vβ11 NKT cells can bind CD1d/α-GalCer, these two subsets of cells show differential recognition of other lipid antigens. We also discuss the functional potential of δ/αβ T cells in comparison to conventional Vα24Vβ11 NKT cells. Collectively, this work expands the growing family of CD1/lipid reactive T cells and highlights how TCR diversity confers differential antigen reactivity.