We investigate the nonclassical correlations via local quantum Fisher information
(LQFI), local quantum uncertainty (LQU) and logarithmic negativity for the two-qubit Ising
model under a magnetic field in an arbitrary direction. The nonclassical correlations of LQFI, LQU and LN are explicitly derived when the magnetic field is perpendicular to the direction of the two-qubit Heisenberg Ising model. While when the magnetic field has an arbitrary direction, they are investigated numerically. The closed forms of the LQFI and LQU confirm the inequality between the quantum Fisher information and skewinformation, where the LQFI is always greater than or equal to the LQU, and both of them show very similar behavior with different amplitudes. It is found that when the system is in its ground state, the LQFI and LQU have the same closed form which can be used in calculating the LN. The dependence of the nonclassical correlations on the direction of the magnetic field is investigated with the effects of the magnitude of the applied magnetic field and the spin interaction coupling. The phenomenon of sudden change for the LQFI and LQU and the sudden death and sudden birth of the entanglement depend on the temperature and the magnitude of the applied magnetic field.