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The purpose of this paper is to present a method to predict the growthrate of short cracks using a non-propagation criterion proposed by Thieulot-Laure etal. [1] and modified by de Moura Pinho et al. [2] and material data such as the Paris’law and the fatigue threshold for long cracks. The criterion is based on linear elasticfracture mechanics including non-singular terms of the asymptotic developments i.e. theT-stresses. This criterion allows predicting the non-propagation fatigue threshold forshort and long cracks. In this approach it is used to predict the crack growth rate ofshort and long cracks in the near threshold regime.