Abstract In this work, the pulsation analysis is performed on 83 high-amplitude δ Scuti stars (HADS), which have been observed by Transiting Exoplanet Survey Satellite. The results show that 49 of these HADS single-mode pulsation, 27 them radial double-modes (in 22 pulsate with fundamental and first overtone modes five second modes), seven triple-modes (three are newly confirmed triple-mode HAD...