Models beyond the Standard Model with extra scalars have been highly motivated by the recent discovery of a Higgs boson. The Two Higgs Doublet Model Type III considers the most general case for the scalar potential, allowing mixing between neutral CP‐even and CP‐odd scalar fields. This paper presents the results of the study on the t → cγ , t → ch , and t → cg decays at one‐loop level if neutral flavor changing is generated by top‐charm‐Higgs coupling given by the Yukawa matrix.