The Georgian president also put flowers at the grave of prominent ophthalmologist, Academician Zarifa Aliyeva.
President Zurabishvili has visited the Alley of Martyrs in Baku.
A guard of honour was lined up for the Georgian president there.
President Zurabishvili paid tribute to Azerbaijani heroes who gave their lives for the country's independence and territorial integrity.
She laid a wreath at the Eternal Flame monument.
A military orchestra played the national anthems of Georgia and Azerbaijan.