The budget retailer is set to create 2,000 new jobs next year, in addition to 7,000 created in the last two years, as it plans at least 100 new store openings in 2022.
It previously announced in June that Tunbridge Wells was among a number of towns where it was looking for another supermarket.
The supermarket already occupies the former Toys R Us unit in Longfield Road, but is targeting the town for another branch as well as looking for store locations in Cranbrook, Paddock Wood and a further 12 sites in Kent.
The discount supermarket chain made the investment announcement, which will run for two years, as bosses revealed sales soared 10.2 per cent in the UK and Ireland in 2020 to £12.3billion.
As part of the £1.3billion investment over the next two years, bosses said around 100 new stores would be added to the 920 sites already operating.
The expansion of its logistics infrastructure includes a new 1.3 million sq ft site in Leicestershire.
The group also said it has improved pay for its HGV drivers amid sector shortages, while there have also been commodity price rises for the firm’s suppliers.
The retailer’s Chief Executive Officer, Giles Hurley, said: “As well as delivering record sales, we continued to invest for growth, deploying over £600 million in stores and distribution centres across the UK.
“This helped to create thousands of much-needed jobs and support for British farmers and manufacturers.
“Whilst the cost of responding to the pandemic dampened profits, our decision to return business rate relief was the right thing to do.”