Procedure for fixing a connection piece (7) on the wall of a water supply hose, in particular for drip irrigation pipes, in which a strip (1) composed of several layers, made of thermoplastic material and layers of tissue, which forms the wall of the water supply hose, is conducted through an ultrasonic die-cutting device (2), in which a remainder (3) is removed from the band (1) by die-cutting by means of a sonotrode (10) configured as a punch punch (9) and an anvil (13) configured as a die die (12), between which the band (1) is conducted, and, during the extraction of the rest (3) of the strip (1) by die-cutting, the edge areas (15) and adjacent surface areas (17a, 17b) of the resulting opening (4) are melted and sealed, in said resulting openings (4) at least one part being inserted of the connecting piece (7) and connected to the wall of the water supply hose and, subsequently being, the band (1) bent to form a pipe and welded, characterized in that a first part (5) of the connecting piece (7) is inserted into the opening (4) made in the band (1) from one of the sides and a second part (6) of the connecting piece (7) is arranged on the first part (5) of the connecting piece (7) from the other side, and by which the band (1), with the first part (5) and the second part (6) inserted in the opening (4), it is fed between a sonotrode (21) and an anvil (22) of an ultrasonic welding installation (8), and the first part (5) of the connection piece (7) and the second part (6) of the connection piece (7) are each welded to the band (1) and to each other.Procedimiento para fijar una pieza de conexión (7) en la pared de una manguera de suministro de agua, en particular, para tuberías de riego por goteo, en las que una banda (1) compuesta de varias capas, hecha de material termoplástico y capas de tejido, que forma la pared de la manguera de suministro de agua, es conducida a través de un dispositivo de troquelado por ultrasonidos (2), en el que un resto (3) es extraído de