Abstract: A cable string for replacement of a prior art sucker rod string used in pumping oil wells with a pump jack unit. The cable string is comprised of a plurality of individual joints of multi-strand material connected together by a coupling member. Each individual joint has a pin member at each extremity thereof. Each joint is affixed in series relationship to another joint by the coupling member. The coupling member has a box connection at each extremity thereof. Hence, the pin member of adjacent joints are connected together by the box connection of the coupling member to provide a string of flexible cable joints of sufficient length to extend from proximity of the pump jack downhole through the borehole into proximity of the downhole pump. When a plurality of cable joints are connected together, the resulting length thereof is equivalent to the length of a standard solid metal joint of sucker rod.