The invention relates to a linear motor reciprocating pump with coupled gear and rack, which mainly consists of a linear motor, a coupler, working hydraulic cylinders, a piston, a piston rod, a gear, a suction valve, a discharge valve, a data collection card, a control computer, a driver, etc. Two cylinders with one coupled gear and rack form an elementary unit; and a multi-cylinder reciprocatingpump with double cylinders, four cylinders and cylinders of even number of more than four can be formed. Two linear motors in one elementary unit can be electrified at respective positive strokes thereof, and can be interrupted at the reverse strokes, and also can be electrified synchronously both at the positive strokes and the reverse strokes. One elementary unit is provided with only one position detection sensor to detect the displacement signal of the motor, and the displacement signal is collected by the data collection card, transferred, and input into the control computer; after the displacement signal is analyzed, a control signal is sent to the driver to lead the motor to realize a desired motion rule. The linear motor reciprocating pump with coupled gear and rack has the advantages of good suction performance, high system efficiency, large discharge capacity, high pump pressure as well as small fluctuation of pump pressure and discharge volume; moreover, the linear motor reciprocating-pump with coupled gear and rack can better fulfill the productive requirements of petroleum, chemical engineering, etc.