In this work we investigate possibility to constrain SIMP-like dark matter (DM) model from the data on large scale structure of the Universe. Such DM candidates interact with ordinary matter until quite late stage of the Universe evolution. Because of that a scale of minimal size of the density inhomogeneity which DM particles can form, can be large. Due to the fact that these particles are coupled to relativistic plasma and therefore inhomogeneities smaller than current horizon are washed out. We are trying to put constraint on cross-section of interaction between SIMPs and ordinary matter in common case and apply it to the specific model.