Lucic studied Sociology at the University of Belgrade Faculty of Philosophy.
Her professional career she spent working as a Professor and Consultant at the Federal Agency for International Cultural and Educational Co-operation in Belgrade.
She has been a member of the Democratic Party since 1992.
She has been elected to serve as the President of the Executive Committee, the Secretary of the Party and also as Vice-President of the Democratic Party.
She is currently a member of the General Committee of the Party.
She was a Member of the National Assembly of Serbia from the Democratic Party list between 1993 and 1997.
From 2000 to 2006 she was a Member of Federal Assembly of Yugoslavia and Assembly of the State Union of Serbia and Montenegro.
She was a delegate from the Assembly of State Union of Serbia and Montenegro to the Parliamentary Assembly of the Council of Europe.
In the Government of Serbia (2001-2004) she served as the Deputy Minister for Social Affairs.
In July 2008 she was appointed State Secretary for Social Policy in the Ministry for Work and Social Policy.