This study aimed to examine the creep of reinforced high‐strength concrete (HSC) containing industrial byproducts, silica fume (SF), and slag (SL). In total, 36 HSC specimens were prepared and tested for creep. Three specimens were used for the plain HSC creep test, 6 specimens were used for the reinforced HSC creep test, and 27 specimens were used for companion shrinkage tests. The applicability of existing creep models in predicting the creep of HSC containing SF and SL were evaluated. In addition, the effect of compressive strength and reinforcement ratio on reinforced HSC was investigated. Moreover, a new procedure to calculate the creep of reinforced HSC columns, based on the modified creep model and an existing creep recovery model, was developed. Finally, a parametric analysis was conducted to investigate the effects of compressive strength, reinforcement ratio, stress–strength ratio, loading age, and volume–surface ratio on reinforced HSC.