Abstract This paper characterizes the elastic-plastic-creep crack-tip stress fields under load and displacement control. The stress field has been calculated from finite element (FE) transient creep analysis under each load control condition and displacement control condition. Varying the magnitude of initial step load is considered to investigate the influence of plasticity to creep. Both same stress exponent and different stress exponent in power-law creep and plasticity were considered. In the displacement control condition, elastic-follow-up factor is estimated by comparing FE results with existing formula. This paper proposes an equation to predict crack-tip stress fields under transient creep using a modification of the existing formula and verifies the proposed equation by comparing with FE results.