In the present work we introduce the concept of orthogonal frames in Krein spaces, prove the independence of the election of the fundamental symmetry, and from this we obtain a number of interesting properties that they satisfy. We show that there is no distinction between orthogonal frames in a Krein space and orthogonal frames in its associated Hilbert. In addition, we give some characterizations of frames in spaces of undefined metric, which is a useful tool for constructing new examples of frames.