A two-dimensional tilted axis cranking Hartree–Fock–Bogoliubov (CHFB) calculation is performed for ⁷⁶Kr and ⁷⁸Kr nuclei up to high spins $J = 30$ employing a pairing-plus-quadrupole (PPQ) model interaction Hamiltonian. Intricate details of the evolution of single particle structures and shapes as a function of spin have been investigated. The results show the existence of energy levels with high 𝐾 quantum numbers lying close to the yrast line in both the nuclei. Such high 𝐾 states should exhibit isomeric characteristics due to the 𝐾-selection rules for the 𝛾-decays. Moreover, in ⁷⁸Kr a new band with $J = 20–30$ lying below the observed ground band is predicted.