Stuart Klosinski, programme manager with the Furness Economic Development Forum, welcomed the development.
"This new Aldi store increases retail floorspace and brings buildings back into use; it's as close as you can get to the town centre and that has got to be good news for Barrow," he said.
The two existing Aldi stores in Barrow are smaller than the typical size of large Asda and Tesco supermarkets but the Hollywood Retail Park Aldi will be considerably bigger.
"The new store will compete more with the likes of Asda and Tesco of this world and will give people who work in the shipyard and students at Furness College better access to shopping in their lunch hour," Mr Klosinski said.
Although the new Aldi represents an out-of-town centre development Mr Klosinski said there is still significant activity within Barrow town centre.
"We've had the likes of the Odd Frog and Tech Lab new openings in the town centre, and with the new bar in the former Greenwoods, that momentum of town centre investment is still there but just in a slightly different direction," he added.