An apparatus for assembly of multi-segment rod-like objects, such as, for example, components of a composite cigarette filter, is disclosed. The apparatus may include an intercalating unit and an assembly unit, linked by a transfer unit. Intercalating unit may include at least one rod supply unit and a conveyor. In one embodiment, intercalating unit may include a plurality of independent rod supply units. Each rod supply unit may include a hopper and a rod delivery mechanism comprising a rotary drum, a cutting device, a transfer wheel and a delivery wheel.