  In the context of a two-Higgs doublet model, supplemented by an additional
light pseudoscalar Higgs boson and a stable isosinglet fermion, we consider the
possibility of addressing simultaneously the discrepancy from the standard
expectation of the anomalous magnetic moment of the muon recently measured at
Fermilab and the longstanding problem of the dark matter in the universe which
can be accounted for by a thermal weakly interacting massive particle. We show
that it is indeed possible, for a range of masses and couplings of the new
light pseudoscalar and the fermionic states, to explain at the same time the
two features while satisfying all other constraints from astroparticle physics
and collider searches, including the constraints from flavor physics.
