Ionotropic orphan delta (GluD) receptors are not gated by glutamate or any other endogenous ligand but are grouped with ionotropic glutamate receptors (iGluRs) based on sequence similarity. GluD1 receptors play critical roles in synaptogenesis and synapse maintenance and have been implicated in neuronal disorders, including schizophrenia, cognitive deficits, and cerebral ataxia. Here we report cryo-EM structures of the rat GluD1 receptor complexed with calcium and the ligand 7-chlorokynurenic acid (7-CKA), elucidating molecular architecture and principles of receptor assembly. The structures reveal a non-swapped architecture at the interface of the extracellular amino-terminal domain (ATD) and the ligand-binding domain (LBD). This finding is in contrast with structures of other families of iGluRs, where the dimer partners between the ATD and LBD layers are swapped. Our results demonstrate that principles of architecture and symmetry are not conserved between delta receptors and other iGluRs and provide a molecular blueprint for understanding the functions of the 'orphan' class of iGluRs.