Cellulose fibres and filaments are prepared from a spinnable, cellulose-containing solution containing 94-100 wt. % cellulose, water, and phosphoric acid and/or anhydrides of phosphoric acid. The resulting cellulose fibres and filaments have an elongation break point greater than 7%. The cellulose-containing solution used to prepare the fibres and filaments may be either isotropic or anisotropic. The cellulose-containing solution is coagulated in a liquid containing water and cations, and the cations are preferably monovalent. Fibres and filaments prepared in this manner are especially suitable for use in textiles.