We study the three-dimensional antiferromagnetic Ising model in both uniform longitudinal (H) and transverse (ω) magnetic fields by using the effective-field theory (EFT) with finite cluster N=1 spin (EFT-1). We analyzed the behavior of the magnetic susceptibility to investigate the reentrant phenomena that we have seen in the same phase diagram previously obtained in other papers. Our results shows the presence of two divergences in the susceptibility that indicates the existence of a reentrant behavior.