The media head of the agency, Sohel Mahmud, in southeastern city of Chittagong told The Associated Press that Sakila Farzana, Liton and Bopon were arrested in the capital, Dhaka, late Tuesday.
Police would not provide other details about the arrests and whether the two were suspected of being directly involved in the attack.
Blogger Neel is the fourth blogger to have been killed since February this year.
The 40-year-old blogger was attacked by suspected al-Qaeda linked Islamists at their apartment here just after the Friday prayers.
Niloy Neel, a secular blogger, was hacked to death at his flat in Dhaka today by five machete-wielding assailants
The two-Test series ended in an inevitable 0-0 draw after rain affected both the first and second Test.
Final day’s play was called off Monday morning due to a wet outfield despite the sun shining on the Bangladesh capital.
Australia will visit Bangladesh first time in nine years to play a two match Test series.
For the second consecutive day, rain ruined the day’s play after second day was also washed out without any ball being bowled.
“Before we could return, we saw our houses at enclave 142 in Seuti Kursha area were razed as a ‘punishment’.”
More than 100 enclaves of India encircled by Bangladesh border and over 50 enclaves of Bangladesh enclosed by Indian territory will be exchanged between the two neighbouring countries at midnight tonight.
Rains played the spoilsport in the first Test between the two teams at Chittagong too.
Dale Steyn caused an uproar earlier this year by saying that the Bangladesh tour was ‘a waste of time’.
South Africa players complained during Lunch to match referee Chris Broad, who passed it on to BCB.
Bangladesh were 179/4, trailing South Africa by 69 runs, when rain stopped play on Day 2.