Jackson will join other home-grown sporting icons in tennis player Margaret Court and footballer Haydn Bunton in having facilities named in their honour in Albury.
Cr Amanda Duncan-Strelec, who instigated the move, was delighted the change would go ahead.
“It pleased me greatly to see it go through smooth passage tonight.
“The council agreed unanimously and it shouldn’t have degenerated to some of the comments made by opponents.
“It is extremely appropriate it be called the Lauren Jackson Sports Centre, particularly given her love of Albury and her parochialism towards Albury and the fact she is hoping one day to come back here and raise a family.
“She is a wonderful role model for the young in our community.”