The Nobel Laureate and newly elected MP will leave her home in Burma to travel to Norway and the UK in June.
It will be the first time she will have set foot outside her country in 24 years.
Ms Suu Kyi spent 15 years under house arrest for her efforts to bring democracy to military-ruled Burma.
In 2007, the Lord Provost proposed she be granted the Freedom Of The City, and it was awarded in her absence two years later.
Bob Winter, who leaves office in May, has now invited her to travel to Glasgow to accept the honour in person.
The Lord Provost's letter says: "I am writing following the parliamentary elections on April 1, which were a great triumph for yourself and the National League For Democracy and, above all, for the people of Burma.
"Now is a time to celebrate, and the city and people of Glasgow are very pleased and honoured to send our message of congratulations to you personally."
Mr Winter said he was proud he had been able to propose that Ms Suu Kyi receive the honour.
He said: "When the council debated the Freedom Of The City, I described Aung San Suu Kyi as a contemporary successor to the likes of Mahatma Gandhi and Dr Martin Luther King due to her commitment to non-violence."