Abstract: An apparatus is provided for continuously sealing a thermoplastic draw tape to a thermoplastic bag at a sealing section. The bag forms one of a plurality of bags formed on a continuous web of thermoplastic material. The bag includes a hem defining a channel wherein the draw tape is disposed. The section of the bag which includes the hem and the tape thus includes a plurality of layers of thermoplastic material. The apparatus comprises a conveyor for continuously moving the web; a first sealing station for forming a heat seal through at least two of the layers of the hem and tape, the seal being formed on a first side of the bag; and a second sealing station for forming a heat seal through the rest of the layers of the hem and tape at the sealing section on a second side of the bag. The first and second sealing stations form the seals while the web is continuously moved by the conveyor.