Auxin response factors (ARF) are important transcription factors which mediate the transcription of auxin responsive genes by binding directly to auxin response elements (AuxREs) found in the promoter regions of these genes. To date, no information has been available about the genome-wide organization of the ARF transcription factor family in physic nut. In this study, 17 ARF genes (JcARFs) are identified in the physic nut genome. A detailed investigation into the physic nut ARF gene family is performed, including analysis of the exon-intron structure, conserved domains, conserved motifs, phylogeny, chromosomal locations, potential small RNA targets and expression profiles under various conditions. Phylogenetic analysis suggests that the 17 JcARF proteins are clustered into 6 groups, and most JcARF proteins from the physic nut reveal closer relationships with those from Arabidopsis than those from rice. Of the 17 JcARF genes, eight are predicted to be the potential targets of small RNAs; most of the genes show differential patterns of expression among four tissues (root, stem cortex, leaf, and seed); and qRT-PCR indicates that the expression of all JcARF genes is inhibited or induced in response to exogenous auxin. Expression profile analysis based on RNA-seq data shows that in leaves, 11 of the JcARF genes respond to at least one abiotic stressor (drought and/or salinity) at, as a minimum, at least one time point. Our results provide valuable information for further studies on the roles of JcARF genes in regulating physic nut's growth, development and responses to abiotic stress.