The present invention relates to a process for the production of a frozen vegetable or part thereof, wherein said process comprises the steps: (i) heat-treating a vegetable or part thereof; (ii) under-cooling to a maximum core temperature of less than or equal to -5.degree. C.; (iii) reducing the core temperature to less than or equal to -18.degree. C.; The invention also provides a frozen vegetable or part thereof comprising a core ice content, characterised in that at least 40% of said core ice content is located within a plurality of cellular structures, wherein the perimeter of each cellular structure is defined by a cell wall.