Recently, the short-pulse intense laser has become a common tool for studying the relativistic plasma with tremendous physical parameters. And the laser-driven magnetic reconnection is one of the hot topics and has received much attention. The laser-driven magnetic reconnection experiments are usually conducted by closely focusing two laser beams on a planar coil target. However, it is always hard to distinguish the physical property of magnetic reconnection from the complex background of laser-produced plasma. In this paper, we present the particle-in-cell simulation results of magnetic reconnection driven by two short-pulse lasers as well as a single laser pulse irradiating the solid planar target, and discuss the correlation between the potential distribution behind the target and the magnetic reconnection. When a single laser is used, the potential behind the target shows a double-peak distribution, which is in agreement with recent experimental results. When two lasers irradiate the target, the potential behind the target shows a three-peak distribution. The accumulated spatial distribution of plasma ions with fixed energy (4.5 and 6 MeV) at 3 μm behind the target shows several peaks, which is in agreement with the potential distribution when either a single laser or two lasers are used. In addition, after the laser pulse terminates, in the two-laser case there is extremely strong effect on the topological structure of the electric field compared with in the singlelaser case. When the magnetic reconnection happens (which can be identified through the reconnection electric field and the electron energy spectrum), the amplitude of the xcomponent of the electric field has different evolution characteristics from the single laser case. The line outs of the ycomponent of the electric field in two cases also have completely different shapes. In summary, the simulation results reveal that the potential distribution behind the target can directly affect the spatial distribution of the accelerated ions. This could be possibly used to identify the short pulse laser-driven magnetic reconnection in experiment.