More than a year later, she said, the case remains under investigation.
The interview was carried out via satellite by Amanpour in New York and the prime minister in Dhaka. CNN has been unable to gain visas from the Bangladeshi government that would allow the network to send reporters to cover the country first-hand.
That assertion was corroborated by a CNN executive, but the prime minister disputed it. "It is not true," Hasina said. "We never stop any media to come to Bangladesh."
Asked about restrictions on coverage imposed by the visa office, she said, "Every country has these rules and regulations."
Thursday's interview came as activity resumed at thousands of Bangladeshi textile factories.
Millions of workers in and around the Bangladeshi capital, Dhaka, returned to duty after the trade group that represents the garment industry decided it was safe to do so.
This week, a delegation of the International Labour Organization arrived in Dhaka on a four-day visit to Bangladesh.
"Horror and regret must translate into urgent firm action," said Guy Ryder, the organization's director-general. "Action now can prevent further tragedy. Inaction would mean that the next tragedy is simply a matter of time."
The incident has provoked widespread protests, including attacks on some textile facilities the demonstrators said are unsafe.
The garment industry accounts for 77% of Bangladesh's exports -- a $20 billion industry for the nation.