She made the request when a delegation of the US Chamber of Commerce's US-Bangladesh Working Group called on her on Thursday in New York.
Bangladesh is the second largest exporter of garment products trailing China. Ready-made garment product export accounts up to 80 percent of its total export income.
However, the $20-billion industry has been beset by poor working condition and low wage.
Around four million people, mostly women, employed in the sector toil for as little as $40 per month.
The poor working conditions in many garment factories and lax security measures shot to prominence after the death of over 1,200 workers in the Tazreen factory fire and the collapse of multi-storied Rana Plaza near Dhaka within a span of six months.
On Jun 30, the US cancelled the duty-free access of Bangladeshi goods into its market. The Generalised System of Preference (GSP) is designed to help grow the poor nations.
GSP cancellation will harm the workers' interests, the Prime Minister was quoted as telling the delegation by her media advisor Iqbal Sobhan Chowdhury.
Hasina said the move in the name of the workers' welfare, safety and compliance was not supportable.
She said halting the preferential trade status for an accident was not acceptable either pointing out such accidents take place even in the developed world.