Ognjenović started at ŽRK Radnički Belgrade, and went on to play for ŽRK Knjaz Miloš and HC Naisa Niš in her home country.

In 2013 she reached the final of the EHF Cup, but lost to Danish Team Tvis Holstebro.

In 2009 in a Champions League match against Austrian Hypo Niederösterreich, the opposition coach, Gunnar Prokop, decided to invade the field and tackle Svetlana Ognjenović with 7 seconds remaining of the match.

The score at the time was 27-27, and Prokop prevented a counterattack, that potentially could win the match.

[3] Prokop would be banned from all handball activities for 1 year, received a 10.000 euro fine and Hypo NÖ had 1 point detracted.