The invention relates to a container for the lyophilisation of a liquid or semi-liquid product. The container comprises an upper portion (2) provided with a membrane which is permeable to water vapour and a lower portion (3) comprising a reservoir designed to receive the product on a bottom. The container comprises internal partitions (21) in the reservoir (19) which form a plurality of product-receiving volumes (22-27), the internal partitions (21) being configured such that introducing product into one of the predefined receiving volumes (22) causes said receiving volumes (22-27) to be successively filled in a predetermined order.