Influences of hole traps on large forward current (IF) of GaN p+n diodes on low-dislocation-density (≤ 4×105 cm−2) GaN substrates were numerically investigated. As with the reported simulation of GaAs p+n diodes, hole traps were found to increase the electron concentration in the drift layer when forward voltage VF was increased. To reproduce the measured IF/VF characteristics, however, we had to assume an unrealistic electron mobility increasing with electric field. We therefore concluded that sources other than hole traps were responsible for the reported enhancement of conductivity modulation in GaN p+n diodes.