Drought can limit plant growth. The ABRE binding factor (ABF) gene family is extensively involved in multifarious bioregulatory processes in plants. However, kiwifruit has not yet been systematically analyzed. This study analyzed the response of kiwifruit AcABF genes to drought stress. Eleven AcABF genes were distributed on nine chromosomes and clustered into three subfamilies with Arabidopsis AtABF genes, AcABF2, AcABF3, AcABF8, AcABF9, and AcABF10, which have drought resistance functions, and AtABF1, AtABF2, AtABF3, and AtABF4 were clustered in Group I. The structural domains of the nine ABF genes in Group I were highly conserved, and the protein structures were highly similar. In the analysis of the five AcABF genes in Group I, all of their cis-acting elements were related to ABA, the content of ABA-like hormones was significantly increased after drought stress, and most of the GO (Gene Ontology) and KEGG (Kyoto Encyclopedia of Genes and Genomes) enrichment results were related to hormonal processes. A total of six AcABF genes were upregulated under drought stress. qRT-PCR was performed to validate the AcABF genes of Group I. The correlation coefficients of the results with the transcriptome data were all above 0.70, and the expression level of ABA increased under drought treatment. These results indicated that the five AcABF genes were positively correlated with ABA under drought stress and that, by synthesizing ABA and facilitating the expression of ABF gene family members, the tolerance of kiwifruit increased. These results provide a solid foundation for further research on improving drought tolerance in kiwifruit.