A twisted structure for a skateboard includes a first board member having a first groove defined therein and extending therearound. A second board member is connected with the first board member. The second board member has a second groove defined therein and extending therearound. An elastic band is stretchably received in the first groove and the second groove. The elastic band encloses the first board member and the second board member for connecting the first board member with the second board member. Accordingly, the first board member is pivotally twisted related to the second board member by the elastic band.