We report the most recent results from high‐resolution numerical simulations of structure formation in two flat cold+hot dark matter models with neutrino mass densities Ων=0.2 and 0.3. We find that structure forms too late in all CDM+HDM models with Ων≳0.2 to account for the amount of dense neutral gas in high‐redshift damped Lyman‐α systems. The Ων=0.2 model at z≊0 provides a better match to observations than the pure CDM model.