This paper introduces the hhsmm, which involves functions for initializing, fitting and predication of hidden hybrid Markov/semi-Markov models. These models are exible models with both Markovian and semi-Markovian states, which are applied to situations where the model involves absorbing or macro states. The left-to-right models and the models with series/parallel networks of states are two models with Markovian and semi-Markovian states. The hhsmm also includes the residual useful lifetime estimation in the predict function. The commercial modular aero-propulsion system simulation (C-MAPSS) data-set is also included in the package, which is used for illustration of the application of the package features.