subsequently output of the pump on the whole can be increased and hence without depending upon the method of multiple variety low production it is possible to achieve a pump of different outputs further by connecting many cell pumps 202 for high capacity and high head even if pump becomes of high output by unitizing individual cell pumps 202 during the transport or the installation the same can be made easy the second embodiment of this invention is explained with reference to fig5 and fig6 the explanation will be shortened as one section is similar to one part of the first application of this integrated pump 0047 fig5 is the vertical cross section showing the internal structure of the cell pump equipped with a check valve 0048 fig6 is the full body vertical section showing the fluid suction and discharge condition with the check valve open in this embodiment in series connected structure 203 out of the two cell pumps connected in series a check valve is provided and positioned at suction mouth 213 of suction side cell pump 202 the check valve 231 is so arranged as to pull in the suction direction a free sliding valve 232 filled to the suction side cell pump 202 this valve 232 opens and closes.