The effect of creep constraint on creep crack growth behavior and the stress field around the creep crack-tip was studied under different specimen geometry conditions. The correlation between the constraint parameters Q and Qm with the stress triaxiality under creep conditions was investigated. The results showed that the Q and Qm depend linearly on the stress triaxiality. Moreover, based on the existing constraint parameters Q∗ and Qm, a new load-independent constraint parameter Qm∗ was proposed to quantify the creep constraint effect. The Qm∗ was superior to Q∗ in quantifying higher out-of-plane creep constraints induced by specimen width and thickness. Furthermore, the Q∗ and Qm∗ were employed to correlate with the normalized creep crack growth rate and initiation time. Finally, the constraint-dependent creep crack growth prediction model based on constraint parameters Q∗ and Qm∗ had been established.