In the present work, we have employed the theoretical framework of Triaxial Projected Shell Model (TPSM) to investigate the presence of triaxiality in transitional nuclei of 164−174 Hf. We have obtained the calculated yrast and γbands and compared with the corresponding experimental data. In addition to these, γ γ -bands are also predicted. In order to thoroughly understand the structure of yrast and γbands, we have kept our focus to study low energy states. The yrast energy ratios, staggering in γ -bands, the phenomenon of back-bending, the reduced electromagnetic transition probabilities and g-factors are calculated using TPSM.