A sintering press to sinter electronic components on a substrate comprises a pressing unit comprising a multi-rod cylinder having a front head and a rear head which jointly delimit a compression chamber. In the front head, presser rods parallel and independent of each other are slidingly supported. Each presser rod is coaxial and barycentric to a respective electronic component to be sintered and has a thrust section proportional to the force to be applied to the respective electronic component. In the compression chamber a sealing membrane extends, which is deformed so as to abut against the presser rods for transferring the sintering pressure on each presser rod.