We have constructed a new library of 1,2,3-triazole tethered pyrazole derivatives (6 a-h & 7 a-h) from propargyl alcohol through simultaneous click process, oxidation, condensation, and rearrangement under mild reaction conditions. The final products were obtained in moderate to good yields. All the compound structures were characterized by analytical and spectral ( 1 H NMR, 13 C NMR & HRMS) studies. Furthermore, the evaluation of biological activity of newly synthesized molecules was done against three human cancer cell lines, such as HeLa (Human cervical cancer), A549 (Human alveolar adenocarcinoma), MCF-7 (Human breast adenocarcinoma). Compound 7 e has showed good anti-proliferation activity with HeLa (IC 50 0.13 � 0.02 μM), MCF-7 (IC 50 2.7 � 0.3 μM), while compounds 6 a and 6 g gave favourable anti-proliferation against above three human cancer cell lines, compared with the standard drug Doxorubicin.