In this paper an axiomatic approach is used to construct accelerated life testing (ALT) models for Nonhomogeneous Poisson Processes (NHPPs). First, the models of random lifetime variables and Nonhomogeneous Poisson Processes used for modeling non-repairable and repairable systems are compared. Then, an axiomatic approach for the construction of ALT models for NHPPs is given. Particular models are considered that can be constructed by this method.