Modelling of the long-term creep damage and lifetime is very challenging, because the minimum creep strain rate, the lifetime, and creep strain at failure are strongly stress level dependent.With the aim for developing a set of creep damage constitutive equations for high Cr steel suitable for long-term service, research work was carried out in the modelling of the minimum creep strain rate with a wide stress level, the modelling of creep cavitation damage and rupture, and the coupling between creep cavitation damage and creep deformation.The stress driven cavitation concept was taken in the development of creep cavity nucleation model and cavity growth model. These two models were calibrated together using cavity histogram first, then a simple analytical equation was derived to model creep cavitation damage via the cavitated area fraction along grain boundary. The creep cavitation damage model offered the theoretical background and supports for the stressbased extrapolation method and time-based extrapolation method. Two case study were carried to explore the opportunities.This paper reports a summary of progresses achieved in the modelling of the minimum creep strain rate over a wide stress, the modelling of cavitation damage and fracture, and the lifetime extrapolation methods.This paper contributes to the generic methodology as well as the specific knowledge to the topic area.