The invention discloses a high gain holographic impedance modulation surface antenna design method and an antenna. The method comprises steps of S1, establishing a model of a lattice unit based on a circular metal patch; S2, fitting the mathematical relationship between a geometric parameter and a surface impedance value between a distance g of a circular metal patch from an edge of the lattice unit and the surface impedance Z; S3, obtaining surface impedance distribution of the holographic impedance modulation surface; and S4, calculating a parameter value of the circular metal patch of the holographic impedance modulation surface and establishing a model of the entire holographic impedance modulation surface. The method is advantaged in that through the holographic impedance modulation surface antenna form of the step structure, the gain of the antenna can be effectively improved, radiation deviating from the normal direction is realized, overall performance of the antenna is improved, moreover, the holographic impedance modulation surface antenna has a planar structure, no additional introduction of a feed source and the feed network is required, the structure is simple, bandwidth is wide, and radiation deviating from the normal direction can be further realized.