To provide a medical pump which prevents misunderstanding that administration of a medicinal solution is incomplete when a low-flow-rate operation is performed after completion of the medicinal solution administration.A control method for a medical pump capable of determining an occlusion state when an internal pressure of an infusion tube is equal to or higher than a setting value, the control method includes: a low-flow-rate step (step 11) of performing a low-flow-rate operation of delivering a medicinal solution at a low flow rate as prevention for formation of a thrombus after completion of administration of the medicinal solution to a patient; an occlusion pressure mitigation step (step 14) of mitigating the pressure inside the infusion tube by operating a drive motor to reversely rotate when it is determined as the occlusion state in the low-flow-rate step (step 12); and a stop step (step 15) of stopping the drive motor after the reverse rotation operation. In the stop step, the drive motor is stopped (step 15-4) when an integrated amount of a delivered solution reaches a value equal to or slightly larger than an administration-scheduled amount of the medicinal solution.