Complex conformal connection and Bochner curvature tensor are two typical classes among all totally real submanifolds of a Kaehlerian manifold. In this paper, some characterizations of conformally flat totally real submanifold of a Kaehlerian manifold are obtained. It is found that the induced connection on a totally real submanifold of a Kaehlerian manifold with a complex conformal connection is the conformal connection. Also, we have shown that the totally umbilical, totally real submanifold is conformally flat in a totally real submanifold of a Kaehlerian manifold.