The invention provides a process for the feeding of fish, comprising at least two consecutive stages: stage I: feeding juvenile fish with a feed having high protein and low fat content, thereby preferably decreasing the level of saturated and monounsaturated fatty acids in said fish meat relative to the weight of the fish; and then stage II: feeding juvenile fish with a feed having a fatty acid content of increased level(s) of one or more long chain polyunsaturated fatty acid(s) (LcPUFA), to deposit the one or more LcPUFA in the fish meat, thereby preferably increasing the level(s) of said fatty acid(s) relative to the weight of the fish. The invention further provides a fish meat food product containing the flesh of a fish fed by the process of the invention, said food product being functional food and further provides a kit of feeds for the feeding of fish, comprising feeds that may be used in stage I and II, defined above. Using the process to produce the fish meat serving as the basis of the functional food, the fatty acid composition of the fish meat may be influenced more favourably in respect of arachidonic acid (ARA), eicosapen- taenoic acid (EPA and docosahexaenoic acid (DHA) than by methods used earlier.