An apparatus for compressing a material such as a tampon or a pessary device, and a method of compressing a material such as a tampon or a pessary device are described. The apparatus can have a first press unit support structure and a second press unit support structure, and each of the first press unit support structure and the second press unit support structure is rotatable about an axis. A first press unit has a compression surface area which decreases with the movement of compression associated with the first press unit support structure. A second press unit is associated with the second press unit support structure, wherein the second press unit is one of an axial direction press unit, a non-linear direction press unit, or a press unit having a compression surface area which decreases with the movement of compression.