With the forthcoming 10–100PW laser facilities, laser-driven electron–positron-pair production has gained particular interest. Here, a scheme to enhance the generation of dense electron–positron-pairs is proposed and numerically demonstrated, employing double laser pulses at the intensity level of . The first laser accelerates a thin foil to a relativistic speed via the radiation-pressure-acceleration mechanism and a counter-propagating laser irradiates this flying plasma layer. The simulation results indicate that a high-yield and well-collimated positron beam ( positrons/pulse, 8.8 nC/pulse) is generated with a large peak density by using tens-of-PW laser pulses.