In a letter to parents, Woodchurch High School in Birkenhead said pupils would not be allowed to wear branded coats such as Moncler, Pyrenex and Canada Goose.
Head teacher Rebekah Phillips said pupils and parents supported the move.
However, some people on Twitter have called the ban “absolutely ridiculous”.
The labels banned by the school include children’s sizes which sell for between £400 and £1,000.
The ban will be introduced after the Christmas holidayst