  Current muon anomalous magnetic moment data have challenged the SM, and seems
to open a window to new Physics. Since the difference between SM and
experimental predictions is approximately $2.6\sigma$. In the framework of the
General Two Higgs Doublet Model (2HDM), we calculate the muon anomalous
magnetic moment to get lower and upper bounds for the Flavor Changing Yukawa
couplings (FC) in the leptonic sector. We also obtain lower bounds for the mass
of the Pseudoscalar Higgs ($m_{A^ 0}$, as a function of the parameters of the
model.
