A static mixing element for installation in a hollow body (10) includes a plurality of bar elements, with a first arrangement (21) including at least one first bar element (3) and being arranged cross-wise with respect to a second arrangement (31) which includes at least one second bar element (4). The first arrangement (21) and the second arrangement (31) include an angle different from 0° to the main direction of flow. The first arrangement includes an angle larger than 0° with the second arrangement. On projection of the first arrangement (21) and of the second arrangement (31) onto a projection plane which is disposed normal to the main direction of flow, intermediate spaces are disposed at least partly between mutually adjacent bar elements.