In 2006, Kononenko earned the FIDE International Master (IM) title.

In 1998 in Kyiv she won silver medal in Ukrainian Youth Chess Championship in age category U20.

In 2001 in Kramatorsk Tatiana Kononenko won silver medal in Ukrainian Women's Chess Championship.

In 2002 in Antalya she won silver medal in European Women's Blitz chess Championship.

Won multiple international women's chess tournaments: Elisaveta Bykova memorial in Vladimir, Russia (2004, together with Yelena Dembo), Benasque (2005), Almería (2007).