The dynamic characteristics of the annular pressure seal employed in pump have been theoretically deduced with consideration of the effects of elastic deformation due to the thermal stress. The thermal deformation is developed for the two-dimensional steady thermal stress distribution in a infinite circular cylinder subject to heating of the seal and shaft surface into the surrounding fluid. To demonstrate this analysis, the effects of thermal stress on rotordynamic coefficients and logarithmic decrement for annular plain seals was shown.