A fluid pumping system may include an electroosmotic pump and a separation member provided at least one end of the electroosmotic pump, and configured to separate the fluid and a transfer target fluid. The electroosmotic pump may include: a membrane that allows a fluid to move therethrough and a first electrode and a second electrode which are respectively provided at two opposite sides of the membrane, and each of which is formed of a porous material or has a porous structure to allow a fluid to move therethrough each of the first electrode and the second electrode may contain a conductive polymer in which an anionic polymer is included or may be made of porous carbon only and an electrochemical reaction of the first electrode and the second electrode may take place as a cation is moved in a direction whereby a charge balance is established.