The aim of this paper is to give some comments on the construction by H. Hironaka [H.61] of a holomorphic (in fact ”algebraic”) family of compact complex manifolds parametrized by C such for all u ∈ C \ {0} the fiber is projective, but such that the fiber at the origin in non ka ̈hlerian. We also explain why it is not possible to make in the same way such a family with fiber at 0 a simpler example of non ka ̈hlerian Moishezon manifold which is also due to H. Hironaka (see section 4). This paper does not give a complete proof of Hironaka’s construction. It only trys to give some help for the reader of this famous article and trys to explain some points which are not “explicit” although they are well known to specialists.