A tandem motor linear rod pumping apparatus for imparting reciprocating, substantially-vertical motion to a pump rod for a sucker-rod pump. The tandem motor linear rod pumping apparatus includes first and second linear mechanical actuator systems disposed in a single housing. These linear mechanical actuator systems impart and control vertical motion of the pump rod. Each linear mechanical actuator system includes a rack and pinion gearing arrangement. Each rack is operatively connected with two pinions. Each pinion is operatively connected to a motor. Rotation of the two motors in a first direction results in an upward motion of the rack and connected sucker rod pump. Rotation of the two motors in a second direction, opposite the first direction, results in a downward motion of the rack and sucker rod pump. The tandem motor linear rod pumping apparatus includes at least one electronic controller to control the operation of the two motors.