This paper presents the annular pressure build-up caused by salt creep and link to current calculation of this phenomenon due to thermal effect, which is commonly known as APB. This phenomenon is not currently modeled on commercial software and should be considered in subsalt wells. The calculation of APB considers three generator mechanisms: thermal expansion of annular fluid, influx or efflux and tubing buckling. Changes in the annular volume, caused by salt creep, may be treated as a fourth mechanism, equivalent to the influx in current calculation of APB. The calculation of this phenomenon can be incorporated into a multistring casing design model by programming the thermal expansion effect and the APB caused by salt creep. This requires adopting a constitutive model to describe the creep behavior of rock for differential stress, temperature profile, salt type, salt thermal activation and other factors. When the casing shoe is seated in deep salt sections with high overburden gradient and high temperature from the produced hydrocarbons, effects of APB due to salt creep and thermal effects may be more pronounced. Not considering the salt creep effect in the annular pressure build-up (APB) can lead to inadequate casing design and possible loss of well integrity.