The invention relates to a system and a method for precise control over support moving and conveyor pushing of hydraulic supports. The system comprises a pushing jack, vertical columns, a main conveyor pushing valve, a main support moving valve, a main column lifting valve and a main column dropping valve, wherein a lifting logic moving valve is arranged on a connection passage between the main support moving valve and the pushing jack, a control port of the lifting logic moving valve is communicated with a liquid outlet of the main column lifting valve, a lifting logic lifting-stopping droppable valve is arranged on a connection passage between the main lifting valve and a vertical column lifting cavity, and a control port of the lifting logic lifting-stopping droppable valve is communicated with a liquid outlet of the main support moving valve. The system achieves support moving and conveyor pushing dual-speed control with the adoption of logic cooperation of a hydraulic system, and the low-speed degree of support moving and conveyor pushing can be made to order according to different working face conditions, accordingly, respective straightness of a hydraulic support set as well as conveyors on the working face is improved.