In the Jokyu War, some members of the clan including Shigekuni KIDA, the heir of the clan, and his son Shigetomo KIDA were killed as they belonged to kyogata (the Kyoto side or supporters of the Imperial court in Kyoto).
承久の乱では惣領・木田重国とその子木田重知をはじめ一族の者が京方に属して討死した。