A tape dispenser includes a housing having at least one compartment that rotatably mounts a roll of adhesive tape. Integrally molded adjacent to each compartment is a hinged door movable between an open position, a closed postion and a tape severance position. The door is maintained in the closed position by the latching interaction of the edges of the door and a pair of wedge-shaped ramps disposed on opposing lateral walls of the compartment. An upwardly angled resilient tab is integrally molded with the housing and disposed within each compartment between a severance means and the rotatably mounted tape roll. The tab upwardly directs the distal end of the tape out of the compartment and presents the distal end of the tape to the user to facilitate withdrawal of the tape from the dispenser.