  We study the contribution of new sets of two-loop Barr-Zee type diagrams to
the anomalous magnetic moment of the muon within the two-Higgs-doublet model
framework. We show that some of these contributions can be quite sizeable for a
large region of the parameter space and can significantly reduce, and in some
cases even explain, the discrepancy between the theoretical prediction and the
experimentally measured value of this observable. Analytical expressions are
given for all the calculations performed in this work.
