A method is described for producing an L-amino acid or a nucleic acid by culturing a microorganism having an ability to produce the L-amino acid or nucleic acid in a liquid medium in a fermentation tank containing a stirring impeller, and optionally adding seed crystals to the medium as required to produce and accumulate crystals of the L-amino acid or nucleic acid in the medium, and collecting crystals of the L-amino acid or nucleic acid from the culture. The power density of the stirring impeller is controlled to be 2.4 kW/m3 or lower after either precipitation of the crystals or addition of the seed crystals.