Asaduzzaman Khan Kamal said on Saturday his government would have to closely examine whether it would be proper to bring such charges against the London-based BNP leader.
Tarique's recent diatribes against Bangabandhu Sheikh Mujibur Rahman -- he was an illegal Prime Minister -- follows his claims that his father Ziaur Rahman was the first president of Bangladesh.
These have upset Awami League leaders and some of them like Suranjit Sengupta have insisted that Tarique should be tried for sedition.
But the State Minister for Home struck a cautious note while speaking to journalists at the launch of Ahsania Mission’s drug rehabilitation centre for women in Mohammadpur in Dhaka.
"We should not do anything questionable or that could cause protests," Kamal said , indicating the government should refrain from being provoked by Tarique.
But Kamal pointed out that Tarique had admitted to his crimes and was on parole, but he was violating it by not returning to Bangladesh.
He claimed the Awami League government had identified the people behind the Ramna Batamul attacks and arranged for their trial, but the Khaleda Zia government delayed that.
The case against the perpetrators behind the bomb blast at Ramna Batamul during Bangla New Year celebrations on April 14, 2001 that killed 10 people is now before the Second Additional Metropolitan Sessions Judge's Court of Dhaka.
Witnesses finished deposing in that court by October last year.