The move comes three weeks after a garment factory building collapsed, killing more than 1,100 people.
Hundreds of factories were forced to close due to recurrent worker unrest sparked by the disaster, officials say.
The government has since announced steps aimed at improving conditions.
That includes raising the minimum wage for industry workers and making it easier for them to form unions.
At least 1,127 people died when the nine-storey Rana Plaza collapsed on 24 April. Authorities have said that the rescue operation is now drawing to a close.
The military ends its search for bodies on Tuesday and will hand the site over to the district administration.
The collapse is the latest in a series of deadly incidents that have focused global attention on safety standards in Bangladesh’s export garment industry, which is the second biggest after China.
On Monday Bangladesh’s textile association said that owners of factories made the decision to shut down after workers went on a rampage.
“Owners decided to close their factories on safety grounds after workers went on a rampage almost every day after the collapse of Rana Plaza,” Mohammad Atiqul Islam, president of the Bangladesh Garment Manufacturers and Exporters Association, said.
One report said as many as 300 factories had closed in the Ashulia industrial area near Dhaka.
The European and US companies that source their clothes from Bangladeshi factories have been under increased pressure to have more oversight of the industry.
Discount clothing company Primark and UK supermarket chain Tesco have also signed up to the agreement.
Sixty percent of Bangladesh’s garment exports go to European retailers.
However, major US firms including Gap Inc, Walmart and Sears have said they will not sign the agreement, throwing its impact into question.