Abstract: A waste disposing system and apparatus are described which use inverted conical frustum cup-like containers of paper or synthetic resin with brims having an adhesive applied thereto, said apparatus comprising: a container supplying means for holding a stack of containers having a top and a bottom, and formed by one sliding over another, and releasing, in response to a request, one after another, from the stack of containers, permitting the falling of a sequential container that has descended down to the bottom of the stack for its turn; a standby means for holding the container with the open side thereof up, thereby permitting the filling of waste into container on standby; a sealing means for pressing the top circumference of the container which is filled with waste to seal the container; and a carrier means for transporting containers from the container supplying means to the standby means, and from the standby means to the sealing means.