The invention discloses a special-shaped paper container. The special-shaped paper container comprises a cup body, a cup bottom, a cup opening and curled openings. The cup opening is formed in the upper portion of the cup body; the cup bottom is located on the lower portion of the cup body; the cup opening is of a square structure formed by four cup opening edges; transition between every two adjacent cup opening edges is achieved through a cup opening round-angle edge; the cup bottom is of a square structure formed by four cup bottom edges; transition between every two adjacent cup bottom edges is achieved through a cup bottom round-angle edge; the cup bottom round-angle edges correspond to the cup opening edges in position; the cup opening edges are not parallel to the cup bottom edges; the cup body is in transition gradually from the square structure of the cup opening to the square structure of the cup bottom; and the curled openings are formed at the cup opening. Compared with traditional round paper containers, the special-shaped paper container has the advantage that as the cup opening of the container is of a square structure, liquid is poured out along the cup opening round angles when being poured out of the container and is not prone to being splashed out. Compared with traditional square paper containers, the special-shaped paper container has the advantage that the round angles of the cup bottom correspond to the cup opening edges, the side radian of the cup body is increased, the side width of the cup body is reduced, and therefore the container is easier to hold.