The invention relates to a method for producing an acidified milk product including the steps of: providing a milk raw material; concentrating the milk raw material by membrane filtration to provide a filtration retentate; acidifying the filtration retentate with an acidic aqueous solution to provide an acidified filtration retentate having a pH in the range of about 5.2 to about 6.5, a calcium/protein ratio of at most about 0.03, and a phosphorous/protein ratio of at most about 0.025; processing the acidified filtration retentate to the acidified milk product having moisture on a fat-free basis of at least 70%. The invention also relates to an acidified milk product having moisture on a fat-free basis of at least 70% and a calcium/casein ratio of at most about 0.04 and a calcium/protein ratio of at most about 0.03 and a phosphorous/casein ratio of at most about 0.03. The invention also relates to an acidified milk product having moisture on a fat-free basis of at least 70%, a calcium/casein ratio of at most about 0.04, a calcium/protein ratio of at most about 0.03 and a phosphorous/protein ratio of at most about 0.025.