An apparatus for varying the capacity of a scroll compressor is disclosed. The apparatus for varying the capacity of a scroll compressor includes a bypass passage for connecting a compression pocket under intermediate pressure among compression pockets formed by a wrap of a fixed scroll and a wrap of a orbiting scroll and a suction side through which refrigerant is inhaled into the compression pocket to each other, an opening and closing device for opening and closing the bypass passage, and an elastic opening and closing device mounted in the bypass passage to open and close the bypass passage by the pressure of the compression pocket and the pressure and elasticity of the suction side according as the bypass passage is opened and closed by the opening and closing device. Therefore, it is possible to simplify the structure of varying the capacity of a compressor such that it is possible to reduce the size of the apparatus for varying the capacity of a scroll compressor and to thus reduce the number of parts.