In this paper, one-weight and additive complementary dual (ACD) codes in Z r 2 × Z s 4 × Z t 8 are studied. Firstly, it is shown that the image of an equidistant Z 2 Z 4 Z 8-additive code is a binary equidistant code. Then, some properties of the structure and possible weights for one-weight Z 2 Z 4 Z 8-additive codes are described. Finally, it is given the sufficient conditions for a Z 2 Z 4 Z 8-additive code to be ACD