Although metal foams are a relatively new material, knowledge about their mechanical properties and behavior is very extensive for monotonic loads, tension-tension and compression-compression cyclic loads. However, there are very few reports of the behavior of metal foams under tension-compression reversed loading. In this work, a statistical treatment of the fatigue lifetime is used, and a damage accumulation models for aluminum closed cell foams subjected to a fully reversed cyclic loading is proposed. To this end, a fatigue analysis and a failure criterion for the material are needed; the fatigue models considered is the statistical Weibull model, and the failure criterion is the provided by Ingraham et al. Finally, the models developed are compared with the experimental published data by Ingraham et al. for validation purposes.