“On behalf of the Government and people of Bangladesh, I extend deepest condolences to you and the people of the UK. Our thoughts and prayers are with the grieving families at this difficult hour,” read the message.
British police on Tuesday identified the suicide bomber who killed 22 people, including children, in an attack on a crowded concert hall in Manchester, and said they were trying to establish whether he had acted alone or with help from others.
Theresa May called it an act of "sickening cowardice" targeting "defenceless children and young people" enjoying a concert.
Islamic State, now being driven from territories in Syria and Iraq by Western-backed armed forces, has reportedly claimed responsibility for what it called a revenge attack against "Crusaders".