Plant-specific YABBY transcription factors play an important role in lateral organ development and abiotic stress responses. However, the functions of the YABBY genes in quinoa remain elusive. In this study, twelve YABBY (CqYAB) genes were identified in the quinoa genome, and they were distributed on nine chromosomes. They were classified into FIL/YAB3, YAB2, YAB5, INO, and CRC clades. All CqYAB genes consist of six or seven exons, and their proteins contain both N-terminal C2C2 zinc finger motifs and C-terminal YABBY domains. Ninety-three cis-regulatory elements were revealed in CqYAB gene promoters, and they were divided into six groups, such as cis-elements involved in light response, hormone response, development, and stress response. Six CqYAB genes were significantly upregulated by salt stress, while one was downregulated. Nine CqYAB genes were upregulated under drought stress, whereas six CqYAB genes were downregulated under cadmium treatment. Tissue expression profiles showed that nine CqYAB genes were expressed in seedlings, leaves, and flowers, seven in seeds, and two specifically in flowers, but no CqYAB expression was detected in roots. Furthermore, CqYAB4 could rescue the ino mutant phenotype in Arabidopsis but not CqYAB10, a paralog of CqYAB4, indicative of functional conservation and divergence among these YABBY genes. Taken together, these results lay a foundation for further functional analysis of CqYAB genes in quinoa growth, development, and abiotic stress responses.