The present invention relates to the use of natural antioxidants from marine algae extracts, such as seaweed extracts and preferably Fuscus vesiculosus extract, during enzymatic hydrolysis of aquatic protein from species such as fish, aquatic mammals, crustaceans and/or mollusks, to obtain high quality aquatic protein hydrolysates (APHs), having a biological activity of interest, for human consumption and cosmetics. The natural antioxidants can inhibit oxidation during hydrolysis, contribute to an increase in the bioactivity and decrease the bitter taste of the final product. The process can vary in starting material, pre-treatment, type and amount of enzyme, hydrolysis conditions, time, degree of hydrolysis and post-treatment. The invention also concerns food products, food supplements, pet food, animal feed, fish feed, fertilizer, pharmaceutical preparations, compositions, medicine and/or cosmetics comprising APHs according to the invention.