Primark occupied a floor of the collapsed building and workers there were suppliers to the brand.
Discount clothing company Primark and UK supermarket chain Tesco have also signed the agreement.
BBC: Bangladesh collapse: Thousands hold prayers for victims
Primark said it would review the support to ensure it kept up with need.
They say the development, including a new Primark, would benefit the Grade II listed shopping centre.
Primark said it "accepts all its responsibilities in this disaster" and was providing assistance in the region.
They produced clothing for big name retailers including British retailer Primark, Children's Place and Canadian company Loblaw Inc.
Primark and Loblaws are promising compensation to all families who lost relatives in factories in the Rana Plaza making their garments.
Clothing retailer Primark's "exceptionally strong" performance has helped owner Associated British Foods to report a big rise in profits.
The 19 new stores brought the total number of Primark outlets across the UK and Europe up to 242.
Primark welcomed the ruling saying millions of people had been "deceived by Panorama".
"All our activities from consumption to production are unalterably changed, " says Allen Sinai, chief global economist for Primark Decision Economics.
The British retailer Primark has acknowledged that it had a contract, as well as Canada's Loblaw and Denmark's PWT Group.
The relocation was part of a plan to demolish Secklow Gate bridge and build a new Primark store at thecentre:mk.
The scheme will also create a further 17, 500 sq ft retail unit, which is set to house a Primark store.
The man was found with a puncture wound in Long Row, near Primark, at about 01:45 GMT on Sunday, police said.
Under the terms of its code of practice for suppliers, Primark prohibits the use of child labour in its manufacturing chain.
Plans to move a market in Milton Keynes to make way for a new Primark store have been recommended for refusal.
Primark said payments will be made to injured garment workers, children who have lost parents and other family members of the deceased.
Clothes retailer Primark has said sales jumped by a quarter in the last three months, boosting profits at owner Associated British Foods.
In addition to Primark, AB Foods also owns British Sugar, and a number of well-known food brands such as Kingsmill, Ryvita and Ovaltine.
Some retailers, including Primark and Loblaw, have promised to compensate injured employees and families of the dead from the factories manufacturing their brands.
Primark says it will pay compensation and offer emergency food aid to victims of the Bangladesh factory collapse who worked for its supplier.
Owners of shopping centre, thecentre:mk have submitted a planning application to knock down the Secklow Gate bridge and build a new Primark store.
The Top 10 brands with the highest percentage of positive mentions (descending): Amazon.com, BMW, New Look, Sony, Adidas, Nescafe, Volkswagen, Primark, HP and Nike.
The programme, which aired in June 2008 put Primark's claims that it could deliver cheap, fast fashion without breaking ethical guidelines to the test.
Primark, a clothes retailer with a large presence in Britain, confirmed that one of its suppliers was on the second floor of the Rana Plaza.
Havelock Europa was founded more than 30 years ago and counts Marks and Spencer, House of Fraser, Sainsbury's and Primark among its high profile customers.
English Heritage has written to the council's planning department over the scheme to knock down the Secklow Gate bridge and build a new Primark store.
BBC: English Heritage object to Primark's Milton Keynes plan
The teenager in search of an inexpensive shirt or handbag goes to Primark (owned by ABF), whose stock has flourished over the past year.
FORBES: British Retailer Marks & Spencer Struggles To Do It All
With the UK economy and economies across Europe seeing weak or negative economic growth, Primark's focus on cheap clothing has proved to be popular among cash-strapped consumers.
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