Five types of glycidyl triazolyl polymers (GTPs) are synthesized without a copper catalyst by thermal azide‐alkyne cycloaddition reaction between glycidyl azide polymer and the electron‐deficient alkynes with the ester group. The samples are characterized by NMR, IR, size‐exclusion chromatography, differential scanning calorimetry, and thermogravimetric analysis. The terminal alkyne affords a 9:1 mixture of the 4‐ and 5‐substituted 1,2,3‐triazolyl derivatives of GTPs. The asymmetric internal alkyne with the methyl‐ and (triethylene glycol)‐esters gives an almost 1:1 mixture of the structural isomers of GTPs having the methyl‐ester substituent at either the 4‐ or 5‐positions of the 1,2,3‐triazole ring. The chemical modification by triethylene glycol improves thermal stability of the ester bond in GTP. The 4,5‐disubstituted triazolyl derivative of GTP has lower glass transition temperature than the mono‐substituted one. This achievement facilitates the work‐up process of GTP synthesis and contributes to expanding the application field of GTP, especially, to the systems not allowing the contamination of a copper catalyst in the biomedical field.