A tire assembly method and apparatus are disclosed which utilize at least two rotatable turrets (16, 18) that each have two drums (26, 28, 58, 60) and at least one transfer unit (156) for transferring tire components from one turret to another. The preferred embodiment of the invention features three turrets (16, 18, 20) and two transfer units (156, 170), wherein a carcass band is assembled on the drums of a first turret (16) the tread package is assembled on a third turret (20), and the complete tire carcass is assembled on a second turret (18), in between the first and third turrets. Simultaneous, continuous and sequential building and assembly of tire carcass bands and tread packages for a plurality of tires is provided by the method and apparatus of this invention.