The invention provides dairy products containing fish-oil-originated EPA and/or DHA and having oxidation and emulsification stability. In particular, acidified milk containing EPA and/or DHA is provided which has oxidation and emulsification stability. The acidified milk is milk acidified by addition of an acid, fermented milk, or acidified milk containing any of the milk acidified by addition of an acid and the fermented milk. The acidified milk contains EPA and/or DHA as a fish oil, preferably a purified fish oil or a fish oil containing EPA and/or DHA in adjusted amount. The acidified milk is produced through an emulsification process. Preferably, the emulsification is performed after a fermentation process of the acidified milk process through a two-stage emulsification process. A food product containing the acidified milk of the invention is also provided.