A Repetitive Tesla-type Relativistic Electron Beam Accelerator was constructed and tested. A Tesla transformer with air core was adopted in the accelerator for charging of oil-filled Blumlein transmission line. The diode with flat cathode and meter foil anode was constructed. The main switch of the accelerator is a self-breakdown oil spark gap. Preliminary experiments were performed under rep-rate 0.2 Hz and 1 Hz. At 0.2 Hz, Relativistic Electron Beam Accelerator continuously operated for over than 70 shots. The voltage amplitude of diode of 300 kV, the pulse width (FWHM) of 30 ns and the rise-time of 5 ns were obtained.