A machine for making filter bags of different shapes for infusion products includes: a wheel defining a work surface and rotating about a relative axis; feed stations for placing tags on the work surface, a continuous thread, along a weave path, and a strip of filter material superposing the weave of thread and the tag. A sealing device is located downstream of the feed stations for sealing between the thread, tag and strip of filter material. A feed device moving the strip along a feed line is positioned downstream of the wheel. A station introduces a dose of infusion product in bag and closes the bag. The feed device has two feed rollers, for unwinding the strip, controlled by a control system for adjusting the speed of rotation of the feed rollers as a function of the length of the filter material needed to form the bag.