The invention relates to reciprocating piston pumps, in particular, to a reciprocating double acting well pump driven by a linear submersible permanent magnet motor. The essence of the claimed invention lies in the fact that the upper pumping plunger pair of a pump module of a double acting linear electric submersible pumping unit is configured to intake a double volume of a borehole fluid sufficient for one operating cycle and contains delivery traveling and inlet fixed valves with a directional pusher, closing by straight oncoming flow of the borehole fluid. Also a separator of downward and upward flows of the borehole fluid with low and high-pressure passages is installed above a cylinder of the pumping plunger pair. Wherein the low-pressure passages are performed in fluid communication with a borehole fluid delivery port from an annulus, containing a filtration and gravitational gas separation zone.