The invention discloses a high-temperature superconducting filter with anti-out-of-band high power interference. A high power-resisting high-temperature superconducting filter structure and a high-suppression superconducting filter structure are cascaded and packaged together, the high power-resisting high-temperature superconducting filter structure has a high high power-resisting ability, powerof interference signals can be effectively suppressed under high out-of-band interference input, and interference signals entering a post-stage structure are weaker; the rear-end high-suppression high-temperature superconducting filter structure has the characteristics of high steepness and good out-of-band suppression, and out-of-band signals can be filtered to a great degree; and as the superconducting material has the characteristic of zero resistance under a low temperature, the superconducting filter has minimum insertion loss, and compared with a conventional filter, the superconductingfilter disclosed in the invention has the advantages of lower insertion loss, higher out-of-band suppression and steeper band edge; and in comparison with the high-suppression high-temperature superconducting filter, the anti-out-of-band high power interference ability is better.