The relation between *-modules-studied in [MO], [D], [C], [DH], [CM], [Z] and [T]-and Tiltng modules over an arbitrary ring is analyzed. In particular we prove that Tilting modules are exactly the faithful and finendo *-modules. This answers a question of Trlifaj [T, Problem 1.5], showing that for any ringRthe class of *-modules generating the injectives and that one of Tiltings coincides. As a first application, we give an easy proof of the fact that every faithful *-module over a finite-dimensionalK-algebra is a classical Tilting module (see [DH, Theorem 1]). As a second application, we characterise the Tiltings as those modules which induce an equivalence between two categories with suitable dual properties.