The signature splitting and signature inversion in rotational bands belonging to configurations in even-even deformed 132,134,136Ce nuclei have been studied. These Ce isotopes are interesting candidates to probe for signature of triaxiality. The energy staggering index S(I) is found nearly constant for band 4 and 5 132Ce. similarly, S(I) is also found nearly constant as a function of spin 134 Ce. The observed signature splitting in these two nuclei does not support low K (projection on symmetry axis) value for these bands on the other hand, high K value is not expected for and / orbitals at Z=58. Hence, this low and constant signature splitting is only possible due to triaxiality. However, in 136Ce favored and unfavored partner bands (B1 and B2) Shows normal signature splitting and indicate axially symmetric shape for 136Ce.