The invention discloses a general structure of a slag and iron separation and cooling device for molten iron desulphurization slag. The device is configured according to two modes, namely an off-line treatment mode and an on-line treatment mode; when the device is configured according to the off-line treatment mode, a lifting tip-over device and a slag tank are arranged; and when the device is configured according to the on-line treatment mode, an on-line moving device is arranged. By the adoption of the technical scheme, full separation of slag from iron can be realized, and the slag and the iron can be quickly cooled, thus realizing quick and continuous industrial production; one process comprises two use or configuration modes; under both the on-line treatment mode and the off-line treatment mode, a core technology in the treatment process is consistent with that of equipment; conversion between the two working modes can be quickly realized, so as to meet use requirements of different occasions, fulfill the aims of wide use range, flexible equipment configuration and simple maintenance, improve the treatment efficiency and reduce the investment cost.