The DNA damage response (DDR) pathway is a promising target for anticancer therapies. The androgen receptor and myeloblastosis transcription factors have been reported to regulate expression of an overlapping set of DDR genes in prostate cancer cells. Here, we found that histone demethylase JMJD1A regulates expression of a different set of DDR genes largely through c-Myc. Inhibition of JMJD1A delayed the resolution of γ-H2AX foci, reduced the formation of foci containing ubiquitin, 53BP1, BRCA1 or Rad51, and inhibited the reporter activity of double-strand break (DSB) repair. Mechanistically, JMJD1A regulated expression of DDR genes by increasing not only the level but also the chromatin recruitment of c-Myc through H3K9 demethylation. Further, we found that ubiquitin ligase HUWE1 induced the K27-/K29-linked noncanonical ubiquitination of JMJD1A at lysine-918. Ablation of the JMJD1A noncanonical ubiquitination lowered DDR gene expression, impaired DSB repair, and sensitized response of prostate cells to irradiation, topoisomerase inhibitors or PARP inhibitors. Thus, development of agents that target JMJD1A or its noncanonical ubiquitination may sensitize the response of prostate cancer to radiotherapy and possibly also genotoxic therapy.