Ms Sukkar, BSc (Hons), Grad Dip Ed, is a co-owner and Principal of construction company Buildcorp. She is Co-President of the YWCA NSW, a director of the Sydney University Football Club Foundation and The Centenary Institute. Additionally, she joined the Board of Opera Australia in March 2011. From 2010 to 2013 Josephine was a non-executive director of The Trust Company Limited.
She is also involved with the Museum of Contemporary Art with their annual Bella Dinner, is on the National Judging Panel of the General Sir John Monash Scholarship Foundation, and is a member of the Women and Diversity in Property Committee of the Property Council of Australia. In 2010 she was awarded a University Gold from the University of Sydney for services to rugby football.