Flash X-ray photography technology has important scenarios in military and civil fields. According to the requirement of high repetition rate of the linear induction a ccelerator, we put foruarc a pulse power source scheme based on tri-coaxial cable Blumlein lines driven by hydrogen thyratron. A tri-coaxial cable was designed and developed. The conduction characteristics of hydrogen thyratron were studied. The verification setup for the pulse power source was built. The experimental research on kHz repetition rate pulse power source and kHz repetition rate pulse power source driving induction cavity was carried out. The results show that the tri-coaxial cable Blumlein lines pulse power source driven by hydrogen thyratron can realize the kHz repetition rate square wave output with excellent waveform quality.