A method of making a cover for the positive plate for acid batteries, comprising a set of thermally formed tubes of non-woven fabric, characterised in that a tape (1) of non-woven fabric of a width corresponding to the length of future tubes is wrapped into a single, oval loop, and the extreme ends are laid so as to form an overlap (2) in the zone between vertices (4) of the loop, then the loop is stitched crosswise to form a set of multiple channels (3) which are then thermally formed into cover tubes (6).