A flat tape dispenser of a continuous length of pressure-sensitive-adhesive (PSA) tape is wound around a flat panel core producing a more compact, more convenient and easier to carry PSA tape dispenser. The tape utilizes an easy-tear feature. The flat tape dispenser is manufactured by winding the PSA tape on a round shaft of Teflon or a shaft covered by a release liner or release coating. The fully wound PSA tape is removed from the shaft, a flat panel core is inserted and the roll is flattened so the inside seals against the core. Alternatively, the PSA tape is wound on a deformable core and then flattened to its final shape.