The paper describes a creep analysis for prestressed concrete structures subjected to sustained or cyclically varying temperatures; cracking is not taken into account. Theory is presented for the general continuum problem and for continuous beam structures, ft is in such a form that the initial elastic and thermoelastic solutions, and the limiting or steady-state solution for creep, are obtained from the use of a single matrix equation. The solution at all stages of the problem is therefore ideally suited to a computer analysis. The calculation procedures are direct and time-step solutions are not required. The examples presented illustrate the combined influence of creep and nonuniform temperatures, and demonstrate the need to include a steady-state stress analysis at the design stage if long-term serviceability of prestressed concrete structures is to be assured. It is concluded that Codes of Practice should include sufficient information relating to temperature to permit an evaluation of long-term structural behavior to be made.