A system for mud solid control includes a translational elliptical multilayer ultra-wide screen shaker, a degasser, a solid-liquid separator, a large capacity centrifugal machine and a collector for solid shales. The solid-liquid separator includes a base which is provided with a feed tank and vibrating supports. A vibrating tank is fixed to the vibrating supports, and screen drums, vibration motors and an anti-vibration driving motor are assembled on the vibrating tank. The anti-vibration driving motor is connected to the screen drums. Each of the screen drums includes an inner drum, an intermediate drum and an outer drum. The system and a corresponding process thereof can greatly simply and improve the process for mud solid control and relevant devices, improve usage effect, reduce cost, save electrical power, reduce occupied area and simply maintenance and management of devices involved.