A nonwoven fibrous multiply fabric comprises a first ply (2) of a mixture of cellulose fibres (6) and synthetic fibres (7), a second ply (3) of a mixture of cellulose fibres (6) and super absorbent powder (8), and a third ply (4) of cellulose fibres (6) only. A method for producing the fabric is carried out by means of a plant comprising an endless wire mesh screen, a first dry-forming stage (11) for forming the first ply (2) on the endless wire mesh screen, a first pair of rollers (14) for compacting the first ply (2), a second dry-forming stage for forming the second ply (3) on top of the first ply (2), a second pair of rollers (15) to form a coherent web (2,3,4) by compacting the plies (2,3,4) between the said rollers (15), a latex applying stage (16) for applying latex (5) to the web (2,3,4), a heating stage (17) for heating the web (2,3,4), a moistening stage (18) for moistening the web (2,3,4), a third pair of rollers (19) for embossing the web (2,3,4) on the side with the third ply (4), and a cooling stage (22) for cooling the web (2,3,4). A nonwoven fibrous multiply fabric having an excellent strength, absorbency and durability can be performed to a low price by means of the simple and effectively functioning method and plant.