This paper reviews the research progress of the research team in the Department of Physics, Tsinghua University, concerning the design, development, and application of high-temperature superconducting (HTS) microwave filters. The current state of HTS microwave filter research is presented, highlighting the team's development efforts in narrowband, wide-stopband, dual-band, triple-band, and broadband HTS filters. Furthermore, the practical application of HTS filters in mobile communication base stations is discussed.