The invention relates to a preparation method of a nickel-cobalt-aluminum ternary positive electrode material precursor. The preparation method comprises the following steps: respectively preparing a nickel-cobalt binary solution, a sodium metaaluminate solution, a liquid alkali solution and a complexing agent solution, wherein the complexing agent is one or more of ammonium sulfite, ammonium bisulfite, ammonium sulfate, ammonium bisulfate, ammonium sulfide, ammonium hydrosulfide, diamine pentasulfide and ammonium thiosulfate; adding the base solution into the reaction kettle, introducing nitrogen, and controlling the temperature and the stirring rotating speed; adding the nickel-cobalt binary solution, the sodium metaaluminate solution, the liquid caustic soda solution and the complexing agent solution into a reaction kettle in a parallel flow manner for reaction; when the particle D50 generated by the reaction reaches 3.0-18.0 [mu]m, stopping feeding; performing aging, washing and impurity removal, dehydration, drying, batch mixing, screening and iron removal on the obtained material, and performing packaging to obtain a finished product. In the process of synthesizing the nickel-cobalt-aluminum ternary precursor, the variety and the adding amount of the added complexing agent are adjusted, and the problems that pores in the precursor are few and are irregularly distributed are solved.