A cosmetic container comprising: a container body having a compartment frame formed on top thereof to provide one or more compartmented exposed spaces and a mounting space open downward; a cap openable and closable with respect to the container body by means of a hinge disposed on one side thereof; and a pallet coupled or separated to or from the mounting space of the container body and having one or more compartmented cosmetic material filling spaces filled with cosmetic materials and having a plurality of side walls, wherein the pallet has elastic control pieces facingly disposed on two side walls facing each other among the side walls of the pallet, and the container body has elastic control grooves facingly formed on the inner surfaces of the side walls thereof correspondingly to the elastic control pieces, so that in a state where the cap is closed, the container body is directly pressurized against the pallet to allow the mounting space open downward to be coupled to the pallet, and as the elastic control pieces are elastically released from the coupled states thereof with an artificial force, the pallet is separable from the mounting space of the container body and replaced with a refill pallet, characterized in that the elastic control pieces comprise elastic support pieces spaced apart from both side facing walls of the pallet and having freely extending bottom ends in a vertical direction, elastic locking projections protruding from the outer peripheral surfaces of the elastic support pieces, and inclined support surfaces formed on tops of the elastic locking projections, and the elastic control grooves are adapted to allow the elastic locking projections to be elastically locked and unlocked thereon and therefrom and have initial inclined entry portions with inclined surfaces corresponding to the inclined support surfaces formed on tops of the elastic locking projections, so that the mounting space of the container body is directly pressurized against top of the pallet, and otherwise, when the pallet is pushed and fitted to the open underside of the mounting space, the inclined support surfaces formed on tops of the elastic locking projections slide along the initial inclined entry portions and come into contact with the elastic control grooves, thereby allowing the elastic control pieces to be elastically locked onto the elastic control grooves. a container body having a compartment frame formed on top thereof to provide one or more compartmented exposed spaces and a mounting space open downward; a cap openable and closable with respect to the container body by means of a hinge disposed on one side thereof; and a pallet coupled or separated to or from the mounting space of the container body and having one or more compartmented cosmetic material filling spaces filled with cosmetic materials and having a plurality of side walls, wherein the pallet has elastic control pieces facingly disposed on two side walls facing each other among the side walls of the pallet, and the container body has elastic control grooves facingly formed on the inner surfaces of the side walls thereof correspondingly to the elastic control pieces, so that in a state where the cap is closed, the container body is directly pressurized against the pallet to allow the mounting space open downward to be coupled to the pallet, and as the elastic control pieces are elastically released from the coupled states thereof with an artificial force, the pallet is separable from the mounting space of the container body and replaced with a refill pallet, characterized in that the elastic control pieces comprise elastic support pieces spaced apart from both side facing walls of the pallet and having freely extending bottom ends in a vertical direction, elastic locking projections protruding from the outer peripheral surfaces of the elastic support pieces, and inclined support surfaces formed on tops of the elastic locking projections, and the elastic control grooves are adapted to allow the elastic locking projections to be elastically locked and unlocked thereon and therefrom and have initial inclined entry portions with inclined surfaces corresponding to the inclined support surfaces formed on tops of the elastic locking projections, so that the mounting space of the container body is directly pressurized against top of the pallet, and otherwise, when the pallet is pushed and fitted to the open underside of the mounting space, the inclined support surfaces formed on tops of the elastic locking projections slide along the initial inclined entry portions and come into contact with the elastic control grooves, thereby allowing the elastic control pieces to be elastically locked onto the elastic control grooves.