The invention provides a high-temperature superconduction notch filter based on a right-and-left hand zero-order circuit. The high-temperature superconduction notch filter comprises a first zero-order resonant unit, a fourth zero-order resonant unit, a second zero-order resonant unit, a third zero-order resonant unit, a first transmission line, a third transmission line, a second transmission line, a first crossing structure, a signal input end and a signal output end, wherein the first zero-order resonant unit and the fourth zero-order resonant unit are horizontally and symmetrically arranged, the second zero-order resonant unit and the third zero-order resonant unit are horizontally and symmetrically arranged, the first transmission line and the third transmission line are horizontally and symmetrically arranged, the signal input end and the signal output end are horizontally and symmetrically arranged, and the first zero-order resonant unit, the second zero-order resonant unit, the third zero-order resonant unit and the fourth zero-order resonant unit are separately used for generating a single-mode trapped wave. The notch filter is simple and compact in structure, small in size and simple in design idea.