Matalan has said it will provide "financial and other support" to those affected by the collapse of a factory in Bangladesh which killed over 380 people.
The fashion chain said it was not using any suppliers based in the building when the disaster occurred last Wednesday.
Uniform-maker Premier Clothing also said it would provide financial assistance to the victims and their families.
At least 386 people were killed and 2,500 people were injured when the eight-storey Rana Plaza building collapsed - and many are still missing.
A statement from Matalan said: "We offer our condolences to all those affected by this tragic event and our thoughts and prayers are with the whole community.
"Whilst we were not using any suppliers based in the building, as soon as we heard the news, we started working with our key contacts in Bangladesh to explore how we could support those involved.
"We can confirm that we are working closely with the Bangladesh Garment Manufacturers & Export Association (BGMEA) and our local team in Bangladesh to provide financial and other support to help those affected."
A Premier Clothing spokesperson said: "We were shocked and deeply saddened to hear about the terrible tragedy involving one of our suppliers, New Wave, which was a tenant in the collapsed building in Dhaka.
"Our thoughts are with the victims and their families.
"We remain in close contact with our agents in Dhaka who liaise with New Wave on our behalf and will look to provide both practical and financial assistance via this local team."
On Monday, low-cost retailer Primark said it would pay compensation to the victims of the event who worked for its supplier.
The Ireland-based company - which is a subsidiary of British company ABF - confirmed that one of its suppliers occupied the second floor of the affected building in the Dhaka suburb of Savar.
It said a team in Bangladesh was working "to put in place immediate and long-term help" for the victims.
Bonmarche, another big brand that acknowledged supplier production at the site, said it was deciding how it could best offer support to those affected.
In a statement it said: "Whilst we have always implemented supplier processes in line with retail industry standards, there are lessons to be learned from this tragic event right across the retail sector.
"We will be reviewing the information emerging from Bangladesh and responding accordingly.
"The Bangladesh Fire and Safety Agreement aims to prevent further tragedies such as this and we support its goals.
"We are looking into it in more detail and will confirm our decision once we have completed our investigations into the situation."
Meanwhile, a Bangladesh court ordered the government to "immediately" confiscate the property of the collapsed building's owner.
Thousands of protesters took to the streets of Dhaka to demand the death sentence for Mohammed Sohel Rana.
Two High Court judges also said the central bank should freeze the assets of the owners of the five clothing factories in the building, and use the money to pay the salaries and other benefits of their workers.