Models beyond the Standard Model with extra scalars are highly motivated by the recent discovery of scalar Higgs boson. The Two Higgs Doublet Model Type III considers the most general case for the scalar potential and Yukawa interactions. We are interested in flavor changing interactions between neutral Higgs bosons and fermions which arises from Yukawa couplings. In particular we study the decay $t\rightarrow c\gamma$ at one loop level where neutral flavor changing is generated by top-charm-Higgs coupling giving by the Yukawa term. We obtain $Br(t\rightarrow c\gamma)$ of the order of $10^{-6}$ for $\tan\beta=2.5$ and general neutral Higgs mixing parameters $1.16\leq\alpha_1\leq1.5$, $-0.48\leq\alpha_2\leq-0.1$.