We have studied the centrality dependence of charged-particle forward-backward multiplicity correlation strength in Au + Au collisions at √ s NN = 200 GeV with a parton and hadron cascade model, PACIAE, based on PYTHIA. The calculated results are compared with the STAR data. The experimentally observed correlation strength characteristics, (1) the approximately flat pseudorapidity dependence in central collisions and (2) the monotonous decrease with decreasing centrality, are reproduced well. However, the theoretical results are larger than the STAR data for the peripheral collisions. We compare the different models and STAR data. A prediction for the forward-backward multiplicity correlation in Pb + Pb collisions at √ s NN = 5500 GeV is also given.