The invention relates to fluid pumping equipment, in particular to a high-pressure slurry conveying pump system and method. The high-pressure slurry conveying pump system comprises a power system anda hydraulic system. The power system comprises a hydraulic oil tank, a main motor, a main oil pump, a hydraulic reversing valve, a cooler and main oil cylinders. The hydraulic system comprises conveying cylinders, a feeding subsystem and a discharging subsystem. The high-pressure slurry conveying method comprises the steps that firstly, the hydraulic oil tank, the main motor and the main oil pumpcontrol pistons in the main oil cylinders to do reciprocating motion through switching of the hydraulic reversing valve; secondly, the pistons in the main oil cylinders drive pistons in the conveyingcylinders to do reciprocating motion; and thirdly, when the pistons in the conveying cylinders move backwards, a feeding conic valve is opened, a discharging conic valve is closed, slurry is sucked infrom a feeding pipe, when the pistons in the conveying cylinders are pushed forwards, the feeding conic valve is closed, the discharging conic valve is opened, and the slurry is discharged from a discharging pipe. The high-pressure slurry conveying pump system and method have the advantages of being high in conveying efficiency, safe and reliable to use, simple in structure and flexible in mounting.