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Using the phase-field microelasticity model, we studied the effect of elastic strain energy (ESE) resulted from the precipitation misfit on the ordering process of γ′ (Ni3Al) phase. The simulation results show that ESE always presents impediment effect for different precipitation mechanisms, such as non-classical nucleation, the mixed style of non-classical nucleation and spinodal decomposition, spinodal ordering; and slows down the occupation probability (OP) of Al atom at β site, and impedes the ordering process. At the same time step, the height and the width of the concentration and long-range order parameter (LROP) are small in the system involving ESE.ESE changes the spatial arrangement and microstructure, and leads to the preferred orientation microstructure.