Maja Savic (born April 29, 1976 in Ivangrad, SR Montenegro, SFR Yugoslavia) is a former Montenegrin handball player, playing for ŽRK Buducnost T-Mobile, where she came to from Viborg HK.
She plays on the left wing position, and was member of ŽRK Buducnost T-Mobile and Slagelse Dream Team (2004–2008).Maja Savic played for the national teams of FR Yugoslavia and Serbia and Montenegro.
In the 2001 World Women's Handball Championship, where Yugoslavia won bronze, Maja Savic was declared the Best Left Wing of the World and member of All Star Team At the 2012 Summer Olympics, she was part of the Montenegrin handball team that won the silver medal.