Catheter (1) for vascular access comprising a cannula (2) having at least one first lumen (21), at least one first connection tube (3), and a connection molded simultaneously on an end of the cannula (2) and on at least one part of the first connection tube (3) and manufacturing process comprising the following stages: taking a cannula (2) having at least one first lumen (21), taking one first connection tube (3), placing in a mould one end of the cannula (2) and one end of the first connection tube (3), injecting into the mould a molding material to obtain the connection (4) between the end of the first connection tube (3) and the end of the cannula placing the first lumen (21) and at least the first tube (3) in fluid communication and device for implementing the manufacturing process.