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Dual-band unidirectional reflectionless propagation at two exceptional points is investigated in metamaterial, which is composed of only two gold resonators with circular holes, by simply manipulating the angle of incident wave and distance between two resonators. Furthermore, the dual-band unidirectional reflectionless propagation can be realized in the wide ranges of incident angle from <inline-formula> <math display="inline"> <semantics> <msup> <mn>0</mn> <mo>∘</mo> </msup> </semantics> </math> </inline-formula> to <inline-formula> <math display="inline"> <semantics> <msup> <mn>50</mn> <mo>∘</mo> </msup> </semantics> </math> </inline-formula> and distance from 255 nm to 355 nm between two resonators. In addition, our scheme is insensitive to polarization of incident wave due to the circular-hole structure of the resonators.