A multi-band antenna structure, comprising a first antenna element, a second antenna element, a reflection panel, and a first parasitic structure of the first antenna element, wherein operating frequency bands of the first antenna element and the second antenna element are different, the first antenna element, the second antenna element, and the first parasitic structure are disposed above the reflection panel, and a distance between the reflection panel and the antenna element with a higher operating frequency band out of the first antenna element and the second antenna element is less than a distance between the reflection panel and the antenna element with a lower operating frequency band out of the first antenna element and the second antenna element; the first parasitic structure comprises one or more frequency selective surfaces, FSSs, the first parasitic structure has a stopband characteristic for the first antenna element and has a passband characteristic for the second antenna element; and the first antenna element and the second antenna element are adjacent to each other, a distance between the first antenna element and the second antenna element is less than 0.5 times a vacuum wavelength corresponding to the lower of the operating frequency bands of the first antenna element and the second antenna element, a distance between the first antenna element and the first parasitic structure is less than 0.5 times a vacuum wavelength corresponding to an operating frequency band of the first antenna element, and a distance between the second antenna element and the first parasitic structure is less than 0.5 times a vacuum wavelength corresponding to an operating frequency band of the second antenna element. operating frequency bands of the first antenna element and the second antenna element are different, the first antenna element, the second antenna element, and the first parasitic structure are disposed above the reflection panel, and a distance between the reflection panel and the antenna element with a higher operating frequency band out of the first antenna element and the second antenna element is less than a distance between the reflection panel and the antenna element with a lower operating frequency band out of the first antenna element and the second antenna element; the first parasitic structure comprises one or more frequency selective surfaces, FSSs, the first parasitic structure has a stopband characteristic for the first antenna element and has a passband characteristic for the second antenna element; and the first antenna element and the second antenna element are adjacent to each other, a distance between the first antenna element and the second antenna element is less than 0.5 times a vacuum wavelength corresponding to the lower of the operating frequency bands of the first antenna element and the second antenna element, a distance between the first antenna element and the first parasitic structure is less than 0.5 times a vacuum wavelength corresponding to an operating frequency band of the first antenna element, and a distance between the second antenna element and the first parasitic structure is less than 0.5 times a vacuum wavelength corresponding to an operating frequency band of the second antenna element.