Sri Lankan authorities said on April 22 that authorities arrested 24 people in connection with the attacks, which left at least 290 people dead and another 500-plus injured.
In addition to the three unnamed children, authorities have said 36 worldwide visitors were killed in the attack.
Danish billionaire Mr Povlsen owns clothing chain ASOS and is Britain's largest private landowner.
Three children of Asos' (ASC.L) biggest shareholder have died in the bomb attacks in Sri Lanka.
His four children had posted a photograph of them spending their holiday in a leading hotel in Sri Lanka, on Social Media, a few days ago.
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It seems, more often than not, the unit has up until about the first change in possession to launch into their attacks. If they win, they'll advance to the second round for the first time since 2004 and face the Columbus Blue Jackets.
Sri Lankan officials haven't named the children as victims publicly but a representative for one of Povlsen's companies did.
The group, which includes brands such as Vero Moda, Only and Jack & Jones, has more than 3,000 stores in 70 countries.
Holch Povlsen, aged 46, is reported to be Denmark's richest man.
"We have no further comment and we ask that the family's privacy is respected at this time", Stukier said.
"Words can not suffice to describe the unbearable loss of the Holch Povlsen family and everyone else who lost their loved ones in the attacks".
There was still no claim of responsibility for the attacks on two churches and four hotels in and around Colombo, the capital of predominantly Buddhist Sri Lanka, and a third church on the country's northeast coast.