The middleweight, who won a bronze medal at London 2012, will be joined by children from Slade Primary School.
The superstore, which covers 1,300 square metres on the site of the old Homebase, is providing employment for 40 local people.
The first 30 customers through the doors will receive a complimentary bag of delicious fresh fruit and vegetables from Aldi’s Super 6 range.
There will be also twice-weekly discounted Specialbuys on Thursdays and Sundays.
Store Manager Kapil Saini said: “We’re excited to finally be opening the Tonbridge store after all of the hard work that’s gone on behind the scenes to get everything prepared.
“The team and I can’t wait to meet Anthony. It’s not every day you get to meet an Olympic hero.”
Mr Ogogo said: “I’m really looking forward to visiting Aldi Tonbridge and welcoming the store’s first customers. I wish the team all the best.”
He will accompany the children back to the Slade to lead an inspirational assembly, giving insights into his training regime and the importance of eating fresh fruit and vegetables.
He added: “I’m really looking forward to chatting to pupils at Slade Primary School about how to maintain a balanced, healthy diet and the benefits of eating fresh fruit and vegetables on a daily basis.”