A medicine supply apparatus has a tablet case containing medicines, a roll of packing paper that is open at its upper end and folded at its lower end, a nozzle whose discharge end is inserted into the packing paper upper open end for projecting medicine discharged from the tablet case, and heat seal apparatus that seals the packing paper upper open end after medicines are discharged into it. A movable tension device of an elastic member is urged toward the packing paper which applies tension to the packing paper at a location past the point where said nozzle discharge end is inserted into its upper open end at a point before when the paper is to be heat sealed.