The effect of Al concentration on the correlations of Ni3Al precipitates (γ′) in Ni-Al alloys was studied based on the microscopic phase-field kinetic model and the microelasticity theory. The simulation results show that γ′ precipitates are arranged along the [001] and [010] directions regarding alloys with all concentration, but there exists different correlations. For the alloy with lower Al concentration, γ′ precipitates are independent each other; for the alloy with medium Al concentration, there are mainly four types correlations among the γ′ precipitates: L-shaped pattern, doublet pattern, triplet pattern and quartet pattern; for the alloy with higher Al concentration, the correlation of γ′ precipitates is mainly doublet pattern