At the beginning of her speech, the prime minister played out the recording of a phone conversation on the incidents of buses being torched in Dhaka during elections
Prime Minister Sheikh Hasina has urged BNP to give up the politics of violence.
She also asked the party to stop spreading conspiracies saying people would not accept them, nor would they believe them.
She made the remarks while replying to a point of order in parliament on Monday.
Earlier, while raising a point of order, BNP lawmaker Harunur Rashid alleged that the government was oppressing BNP leaders by falsely implicating them in cases of arson attacks.
At the beginning of her speech, the prime minister played out the recording of a phone conversation on the incidents of buses being torched in Dhaka during elections.
She said: "With a heavy heart, I have to say that sometimes he [BNP MP Harunur Rashid] makes such statements in parliament, which we do not respond to. But today, before making the allegation [against the government], he should have thought of his own party's history.
“BNP MP Harun spoke about the polls. My question is: do they even participate in the elections? They take nominations but do not campaign. They don’t even appoint polling agents in the voting centres on election day… They lost the support of the people long ago… Terrorism, murder, violence against women - there is nothing they have not done," she added.
"Thousands of women were brutally tortured after the 2001 general elections. Then came their arson attacks. People were burned alive. They were burned to death. This is how they demonstrated, by carrying out arson attacks," the prime minister said in parliament.
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"They torched buses during the recent by-polls in two Dhaka constituencies and blamed that it was done by government agents.
"We are in power. Why would we carry out arson attacks? It is our responsibility to ensure the security of the people."
"Now there are CCTV cameras everywhere, and those behind the arson attacks are being identified and caught. It is absolutely clear. I even have pictures," she said.