An electro osmosis pump for transmission of liquid medicine comprising: a connector provided with a liquid medicine inlet and a liquid medicine outlet; a check valve assembly combined to one side of the connector; and a driver that is connected to the other side of the connector and moves the liquid medicine toward the liquid medicine outlet by applying pressure to the liquid medicine while being separated from the liquid medicine, which passes through the check valve assembly, characterized in that the driver comprises: a first diaphragm that is combined to the connector and blocks liquid medicine of the check valve assembly; a first pump housing that is combined to the first diaphragm and provided with a space where an operation fluid is received; a first power supply line that is combined to the first pump housing and receives power; a first electrode connected to the first power supply line; a membrane of which one side is combined to the first electrode; a second electrode combined to the other side of the membrane; a second power supply line that supplies power to the second electrode; a second pump housing combined to one side of the second electrode and provided with a space where an operation fluid is received; and a second diaphragm combined to the second pump housing, wherein the first pump housing is provided with a space that penetrates along an axial direction and the space of the first pump housing is blocked by the first diaphragm and the first electrode, and the second pump housing is provided with another space that penetrates along the axial direction and the space of the second pump housing is blocked by the second electrode and the second diaphragm. a connector provided with a liquid medicine inlet and a liquid medicine outlet; a check valve assembly combined to one side of the connector; and a driver that is connected to the other side of the connector and moves the liquid medicine toward the liquid medicine outlet by applying pressure to the liquid medicine while being separated from the liquid medicine, which passes through the check valve assembly, characterized in that the driver comprises: a first diaphragm that is combined to the connector and blocks liquid medicine of the check valve assembly; a first pump housing that is combined to the first diaphragm and provided with a space where an operation fluid is received; a first power supply line that is combined to the first pump housing and receives power; a first electrode connected to the first power supply line; a membrane of which one side is combined to the first electrode; a second electrode combined to the other side of the membrane; a second power supply line that supplies power to the second electrode; a second pump housing combined to one side of the second electrode and provided with a space where an operation fluid is received; and a second diaphragm combined to the second pump housing, wherein the first pump housing is provided with a space that penetrates along an axial direction and the space of the first pump housing is blocked by the first diaphragm and the first electrode, and the second pump housing is provided with another space that penetrates along the axial direction and the space of the second pump housing is blocked by the second electrode and the second diaphragm. a first diaphragm that is combined to the connector and blocks liquid medicine of the check valve assembly; a first pump housing that is combined to the first diaphragm and provided with a space where an operation fluid is received; a first power supply line that is combined to the first pump housing and receives power; a first electrode connected to the first power supply line; a membrane of which one side is combined to the first electrode; a second electrode combined to the other side of the membrane; a second power supply line that supplies power to the second electrode; a second pump housing combined to one side of the second electrode and provided with a space where an operation fluid is received; and a second diaphragm combined to the second pump housing, wherein the first pump housing is provided with a space that penetrates along an axial direction and the space of the first pump housing is blocked by the first diaphragm and the first electrode, and the second pump housing is provided with another space that penetrates along the axial direction and the space of the second pump housing is blocked by the second electrode and the second diaphragm.