A continuous casting and rolling apparatus according to one embodiment of the present invention provides: a continuous caster for generating a steel sheet; a first rolling unit associated with the continuous caster; and a second rolling unit which is spaced apart in the outlet of the first rolling unit and comprises: a rolling mill for pressing down the steel sheet; and a cutter for cutting a portion of the steel sheet, wherein the cutter is spaced from the second rolling unit by a length corresponding to the length of the steel sheet discharged in an at least discontinuous rolling mode, and may comprise a cut withdrawal unit provided between the first rolling unit and the second rolling unit. In addition, a continuous casting and rolling method according to another embodiment of the present invention is a continuous casting and rolling method in which a continuous rolling mode and a discontinuous rolling mode are switched to and from each other, and may comprise: a continuous casting step for generating a steel sheet; a rolling step for pressing down the steel sheet to a rolling mill after the continuous casting step; and a cutting step for cutting the steel sheet between the continuous casting step and the rolling step in a discontinuous rolling mode, and cutting the steel sheet with a cutter provided by being spaced apart from the rolling mill at an interval corresponding to the length of the steel sheet being cut and discharged in an at least discontinuous rolling mode.