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A rotational lattice is a structure $\langle L;\vee ,\wedge ,g\rangle$ where $L=\langle L;\vee ,\wedge \rangle$ is a lattice and $g$ is a lattice automorphism of finite order. We describe the subdirectly irreducible distributive rotational lattices. Using Jónsson’s lemma, this leads to a description of all varieties of distributive rotational lattices.